Paper Citation Record · LEDGER

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

As of 15 August 2026, this Paper Citation Record lists 100 of 176 outbound references and 8 inbound Pith citation observations for arXiv:2601.06416.

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2601.06416 v2

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measured 100 of 176 reference resolution

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Outbound references

Observation 3e47bba5-0026-4439-9d08-3fc12f59ed14 · outbound

This paper cites detached.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown detached

Reference 1

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Observation 3294637b-2b64-457d-a4dd-ca380f8d8fc8 · outbound

This paper cites This is ensured by the Liouville-Arnold theorem [63, 91, 131] and the existence of five commuting and linearly independent first integrals, denoted (H,Ξ,X, K, Q).

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown This is ensured by the Liouville-Arnold theorem [63, 91, 131] and the existence of five commuting and linearly independent first integrals, denoted (H,Ξ,X, K, Q)

Reference 2

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Observation 86415b3a-758a-47de-82e6-3c602e281d00 · outbound

This paper cites hidden symmetries.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown hidden symmetries

Reference 3

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Observation bff9c60e-5c4e-412b-b837-eb0af2359408 · outbound

This paper cites VA1, we need to compute 5 2 = 10P-brackets, corresponding to the number of independent unordered pairs between the five first integrals (H,Ξ,X, Q, K).

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown VA1, we need to compute 5 2 = 10P-brackets, corresponding to the number of independent unordered pairs between the five first integrals (H,Ξ,X, Q, K)

Reference 4

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Observation b25c4334-96e3-4a6e-9bb6-1e4a07974fc7 · outbound

This paper cites First,{K, H}= 0 and{Q, H}= 0simply mean that(K, Q)are conserved under the MPTD + TD SSC (for κ= 1).

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown First,{K, H}= 0 and{Q, H}= 0simply mean that(K, Q)are conserved under the MPTD + TD SSC (for κ= 1)

Reference 5

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Observation 0ce3a92e-9939-40bb-aa87-bb01e4d4fe29 · outbound

This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

Reference 6

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Observation 8f813356-039e-4107-9376-eb7ed8370c5f · outbound

This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

Reference 7

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Observation 99e961a7-fa55-4090-9c04-323f8878d951 · outbound

This paper cites Again, the linear-in-spin term in the first line has been shown to vanish in Paper 1.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Again, the linear-in-spin term in the first line has been shown to vanish in Paper 1

Reference 8

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Observation 3181fce8-49b4-4647-816e-f1f795bc41e9 · outbound

This paper cites The linear-in-spin term was shown to beO(Cα)in any spacetime admitting a KY tensor in Paper I.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown The linear-in-spin term was shown to beO(Cα)in any spacetime admitting a KY tensor in Paper I

Reference 9

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Observation a313a7e9-a11c-4e02-875b-7d4f1532cccb · outbound

This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 10

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Observation 1cc8df95-947d-44f0-9e8d-cf23a060eedf · outbound

This paper cites GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

Reference 11

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Observation ed613a3c-1147-450f-8306-9f5151727a70 · outbound

This paper cites GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

Reference 12

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Observation 64f72ea9-3221-4f91-9a65-0e0f1845a1b6 · outbound

This paper cites GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run

Reference 13

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Observation 5ad78e34-fc70-4640-a037-276a1f4d44b4 · outbound

This paper cites GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run

Reference 14

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Observation b695c2bd-4823-4bc2-b027-10728a45cfbf · outbound

This paper cites Akiyama, A.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Akiyama, A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:35.986606Z

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Observation 0b4a30ab-7faa-4865-8928-137bb88c1ad1 · outbound

This paper cites Akiyama, A.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Akiyama, A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:35.990671Z

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Observation 3a5dda7c-fe12-4cd5-b8ba-50ea930733b1 · outbound

This paper cites Laser Interferometer Space Antenna.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Laser Interferometer Space Antenna

Reference 17

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Observation d0ca20c2-f935-4762-a50c-b162ffa747d9 · outbound

This paper cites LISA Definition Study Report.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown LISA Definition Study Report

Reference 18

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Observation 94bb3376-0f9e-4e9e-a281-c86e12b66f08 · outbound

This paper cites New Horizons for Fundamental Physics with LISA.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown New Horizons for Fundamental Physics with LISA

Reference 19

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Observation 175b9d58-a00d-4665-b32c-31f3e64a7abb · outbound

This paper cites Testing gravity with Extreme-Mass-Ratio Inspirals.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Testing gravity with Extreme-Mass-Ratio Inspirals

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Observation 5d5fecef-7762-46fc-83e7-5ae2e5dbe30a · outbound

This paper cites Relativistic Dynamics and Extreme Mass Ratio Inspirals.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Relativistic Dynamics and Extreme Mass Ratio Inspirals

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Observation 19260099-7fdc-4600-831e-b732b875f765 · outbound

This paper cites Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals

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Observation a4b25749-fd83-4ac0-90d7-5fa6d01e4488 · outbound

This paper cites Astrophysics with the Laser Interferometer Space Antenna.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Astrophysics with the Laser Interferometer Space Antenna

Reference 23

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Observation 81a83b4a-86c6-4245-ad70-dc66e20c627b · outbound

This paper cites Waveform Modelling for the Laser Interferometer Space Antenna.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Waveform Modelling for the Laser Interferometer Space Antenna

Reference 24

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Observation 0b93edb3-813b-48ea-8a1c-fdc582aa3767 · outbound

This paper cites Ehlers and reprinted in Gen.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Ehlers and reprinted in Gen

Reference 25

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Observation 7a3e24c6-724e-48a2-83bd-986b9b5ad1c0 · outbound

This paper cites Papapetrou, Spinning test-particles in general relativity.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Papapetrou, Spinning test-particles in general relativity

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Observation 80d38b63-1689-4aee-a0cb-74927ac0c0d1 · outbound

This paper cites Tulczyjew, Motion of multiple particles in general relativity theory, Acta Phys.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Tulczyjew, Motion of multiple particles in general relativity theory, Acta Phys

Reference 27

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This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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Observation f3790154-e875-42e0-a551-683752b91167 · outbound

This paper cites Mechanics of extended masses in general relativity.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Mechanics of extended masses in general relativity

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This paper cites Ramond,The First Law of Mechanics in General Relativity & Isochrone Orbits in Newto- nian Gravity, PhD Thesis, Paris Cité Univ.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Ramond,The First Law of Mechanics in General Relativity & Isochrone Orbits in Newto- nian Gravity, PhD Thesis, Paris Cité Univ

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Observation 6da3f81c-2f62-43a7-acf6-52e293d8bb62 · outbound

This paper cites Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion

Reference 31

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Observation 6fe203f6-07db-4fe9-9c8b-e330c7ada106 · outbound

This paper cites Self-Force Calculations with a Spinning Secondary.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Self-Force Calculations with a Spinning Secondary

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Observation 9f9a34a9-475c-4d65-9ecc-89418db633fc · outbound

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Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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Observation c8f4292a-ee80-4d96-a866-a45d036f947d · outbound

This paper cites Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations

Reference 35

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Observation 37d525bf-4176-4c22-951a-248661868b30 · outbound

This paper cites Skoupý, G.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Skoupý, G

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Observation 6294fd70-9421-45c7-ab39-917e2d222983 · outbound

This paper cites Post-Newtonian expansions of extreme mass ratio inspirals of spinning bodies into Schwarzschild black holes.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Post-Newtonian expansions of extreme mass ratio inspirals of spinning bodies into Schwarzschild black holes

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Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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Observation 359117da-9969-4775-81f9-9cf3cff0b037 · outbound

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Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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Observation 3c5230aa-bd1e-4f74-9ddc-6755f7b39b79 · outbound

This paper cites Honet, J.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Honet, J

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Observation 894aecff-6b11-4a0e-8e1f-91405665efc1 · outbound

This paper cites Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary

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Observation 4b678d1b-4cff-4663-9784-8d3f7b58e9c9 · outbound

This paper cites Mathews and A.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Mathews and A

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This paper cites Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time

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Observation 414fad2a-30b8-445a-aca3-e51b5058c0b8 · outbound

This paper cites Effective Field Theories of Post-Newtonian Gravity: A comprehensive review.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Effective Field Theories of Post-Newtonian Gravity: A comprehensive review

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Observation 61e4203c-f43b-432f-b109-ee48b3d9578a · outbound

This paper cites Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order

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Observation bde044ef-d3e0-46ae-a047-76a4aaf59996 · outbound

This paper cites Gravitational waves from inspiraling compact binaries: The quadrupole-moment term.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Gravitational waves from inspiraling compact binaries: The quadrupole-moment term

Reference 47

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Observation 76d1008e-49aa-49ca-9019-16218dda1bfe · outbound

This paper cites Testing the nature of dark compact objects: a status report.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Testing the nature of dark compact objects: a status report

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.127621Z

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This paper cites Testing the binary black hole nature of a compact binary coalescence.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Testing the binary black hole nature of a compact binary coalescence

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.131924Z

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Observation d92057f8-9f8f-4a56-8b10-1cdaaaaa59ee · outbound

This paper cites Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.136368Z

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Observation a28b6238-88c3-46c2-a6db-925dacbff659 · outbound

This paper cites Rahman and A.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Rahman and A

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.140515Z

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Observation 0ce86daa-7cf4-4fd4-8809-1ea4cbc0ae85 · outbound

This paper cites Rüdiger, Conserved quantities of spinning test particles in general relativity.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Rüdiger, Conserved quantities of spinning test particles in general relativity

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Observation ce0e8f6e-428f-4942-8be4-bf0a0c237683 · outbound

This paper cites Rüdiger, Conserved quantities of spinning test particles in general relativity.

Reference 54

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Observation 21ca7cf1-1f69-440e-a3cb-906fa178a17c · outbound

This paper cites Hamilton-Jacobi equation for spinning particles near black holes.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Hamilton-Jacobi equation for spinning particles near black holes

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Observation eafe21ab-9da4-4543-a179-427724d8050b · outbound

This paper cites Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime

Reference 56

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Observation 5f0cd699-6939-44c6-9bbf-d0ae9ad7c664 · outbound

This paper cites Complete set of quasi-conserved quantities for spinning particles around Kerr.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Complete set of quasi-conserved quantities for spinning particles around Kerr

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Observation 4904b39a-f7e5-456d-a053-287de6f07910 · outbound

This paper cites Generalized Carter constant for quadrupolar test bodies in Kerr spacetime.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Generalized Carter constant for quadrupolar test bodies in Kerr spacetime

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.165576Z

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Observation 510649ea-0d98-4dae-bb6f-a6f09b8ebf9e · outbound

This paper cites High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.174013Z

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Observation 0d623f6f-b281-4edc-b413-6eca94f9560e · outbound

This paper cites Canonical Hamiltonian for an extended test body in curved spacetime: To quadratic order in spin.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Canonical Hamiltonian for an extended test body in curved spacetime: To quadratic order in spin

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Observation 9e14a3ef-788e-4818-b2b5-11a22a1ddb37 · outbound

This paper cites Hamiltonians and canonical coordinates for spinning particles in curved space-time.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Hamiltonians and canonical coordinates for spinning particles in curved space-time

Reference 62

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Observation d533537f-95c2-4a52-943f-222a66b620f4 · outbound

This paper cites Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin

Reference 63

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Observation 945483a0-1c51-4636-acc5-36c43e55f44d · outbound

This paper cites Is motion under the conservative self-force in black hole spacetimes an integrable Hamiltonian system?.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Is motion under the conservative self-force in black hole spacetimes an integrable Hamiltonian system?

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Observation ea94aa9a-43ce-4fb4-ab44-e912da21f11a · outbound

This paper cites Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry

Reference 65

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Observation 40159f4e-44ee-4a41-ab4a-569b8b39a007 · outbound

This paper cites Particle motion under the conservative piece of the self-force is Hamiltonian.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Particle motion under the conservative piece of the self-force is Hamiltonian

Reference 66

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Observation 0ebf8a69-9a3f-4aae-8dd4-33176fd00d58 · outbound

This paper cites The classical mechanics of non-conservative systems.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown The classical mechanics of non-conservative systems

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.203591Z

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Observation 67927622-c03c-482e-a4f0-0bb019ccdc77 · outbound

This paper cites Gonzo, J.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Gonzo, J

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.207715Z

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Observation 6ce8bceb-47b6-4321-b153-4658f044a35c · outbound

This paper cites Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Post-adiabatic dynamics and waveform generation in self-force theory: an invariant pseudo-Hamiltonian framework

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.211744Z

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Observation b88ca877-033a-43d2-a431-0ea78554dcc7 · outbound

This paper cites Haier, C.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Haier, C

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.216265Z

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Observation 5c2b055d-7642-4f5a-8b47-7f15ed9e93b2 · outbound

This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.220110Z

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Observation 82b8de79-fe66-4bac-a497-a1bcb8095a3e · outbound

This paper cites Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion

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Observation dd8623f9-d383-41d0-af28-7bfa954eee00 · outbound

This paper cites Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.228181Z

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Observation da85fd33-681d-4d15-9a6a-7ac62d7ed5c6 · outbound

This paper cites Black hole perturbation theory and gravitational self-force.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Black hole perturbation theory and gravitational self-force

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.232096Z

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Observation 0a729549-33d1-4995-b6b7-c8f450d1ace4 · outbound

This paper cites Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.236005Z

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Observation 2d117aae-01ec-41c6-a424-9a605b9e61ea · outbound

This paper cites FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.239972Z

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Observation 9787a1ab-a561-4044-aac0-dcb97e887472 · outbound

This paper cites Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.244171Z

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Observation c931779d-1f97-4ea1-8743-55721b573a7f · outbound

This paper cites The Fast and the Frame-Dragging: Efficient waveforms for asymmetric-mass eccentric equatorial inspirals into rapidly-spinning black holes.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown The Fast and the Frame-Dragging: Efficient waveforms for asymmetric-mass eccentric equatorial inspirals into rapidly-spinning black holes

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.248197Z

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Observation 5f83fef5-8418-4365-a167-bad47ea2884f · outbound

This paper cites The adiabatic evolution of orbital parameters in the Kerr spacetime.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown The adiabatic evolution of orbital parameters in the Kerr spacetime

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.252076Z

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Observation d5a68293-87f6-4d49-9132-8744c01d3748 · outbound

This paper cites Computing inspirals in Kerr in the adiabatic regime. I. The scalar case.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Computing inspirals in Kerr in the adiabatic regime. I. The scalar case

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.256462Z

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Observation b74f47dc-4562-44cf-a370-0f1c78787f4d · outbound

This paper cites Isoyama, H.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Isoyama, H

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.260492Z

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Observation ba24deb2-43aa-4a37-86b7-711d8b66db2e · outbound

This paper cites Dissipation in extreme-mass ratio binaries with a spinning secondary.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Dissipation in extreme-mass ratio binaries with a spinning secondary

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.264147Z

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Observation a263bb80-b0be-45ae-866c-28bc4dbb0cf9 · outbound

This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.268470Z

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Observation 042d5d1e-f556-456c-b62c-6683b7b47e8e · outbound

This paper cites Flux-balance laws for spinning bodies under the gravitational self-force.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Flux-balance laws for spinning bodies under the gravitational self-force

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.272633Z

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Observation d8901fee-4a0f-4189-a17a-dc48967a5039 · outbound

This paper cites Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.277414Z

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Observation 3dea9b5d-3d8b-4948-a2e0-84c7ad12c665 · outbound

This paper cites First Law of Mechanics for Compact Binaries on Eccentric Orbits.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown First Law of Mechanics for Compact Binaries on Eccentric Orbits

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.281583Z

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Observation 9efa669d-b25b-4938-a92c-10a2bc600c6c · outbound

This paper cites Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.286156Z

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Observation fb425d4d-0cd0-464b-8121-a751bff9ede7 · outbound

This paper cites Signature of chaos in gravitational waves from a spinning particle.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Signature of chaos in gravitational waves from a spinning particle

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.290222Z

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Observation 04f9eafd-c132-4154-8aac-99ae16db7e77 · outbound

This paper cites How to observe a non-Kerr spacetime.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown How to observe a non-Kerr spacetime

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.294801Z

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Observation d3ee91c4-f479-4d28-b95f-8c50fd06ad9f · outbound

This paper cites Non-linear effects in EMRI dynamics and their imprints on gravitational waves.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Non-linear effects in EMRI dynamics and their imprints on gravitational waves

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.298884Z

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Observation 99b250e6-f9f9-4b16-be72-280b31c86601 · outbound

This paper cites Gravitational-wave glitches in chaotic extreme-mass-ratio inspirals.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Gravitational-wave glitches in chaotic extreme-mass-ratio inspirals

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.302832Z

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Observation d277bd3a-8e38-4c72-845d-223768a3479d · outbound

This paper cites Gravitational-wave glitches: resonant islands and frequency jumps in non-integrable extreme-mass-ratio inspirals.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Gravitational-wave glitches: resonant islands and frequency jumps in non-integrable extreme-mass-ratio inspirals

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.306650Z

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Observation 210da57c-dcc1-493f-8738-da420828aa23 · outbound

This paper cites an unresolved cited work.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.311200Z

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Observation 36407699-c891-4d4c-a022-f3ef0ac265d9 · outbound

This paper cites Towards a formalism for mapping the spacetimes of massive compact objects: Bumpy black holes and their orbits.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Towards a formalism for mapping the spacetimes of massive compact objects: Bumpy black holes and their orbits

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.315122Z

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Observation ef4f1f0b-e226-4a8d-a43a-480bf3fce2ba · outbound

This paper cites Probing the nature of central objects in extreme-mass-ratio inspirals with gravitational waves.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Probing the nature of central objects in extreme-mass-ratio inspirals with gravitational waves

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.319548Z

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Observation 140986d1-325d-4b4a-ba78-c88e753a9357 · outbound

This paper cites Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.323834Z

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Observation fa256174-b111-48fc-a972-df78536ce122 · outbound

This paper cites Science Case for the Einstein Telescope.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Science Case for the Einstein Telescope

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.328218Z

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Observation 82107b66-c4f7-44b7-84fb-3a7a45349d02 · outbound

This paper cites The Science of the Einstein Telescope.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown The Science of the Einstein Telescope

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Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.332183Z

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Observation ad5f9dff-d01d-4c00-b268-33e656cd7be2 · outbound

This paper cites Motion in classical field theories and the foundations of the self-force problem.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Motion in classical field theories and the foundations of the self-force problem

Reference 99

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Observation eb6b82d1-4cde-475c-9648-c06054cb081d · outbound

This paper cites Ramond and S.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Ramond and S

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-03T11:30:36.340071Z

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Observation 5812a191-4c59-4d37-a4ba-51db1fc47fd4 · outbound

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Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Unresolved cited work

Reference 101

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Observation c3adce96-7f9d-4543-b737-d32e4a8952c3 · outbound

This paper cites Yagi and N.

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown Yagi and N

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Pith citing papers

Observation 934054cd-1cff-447e-96be-aa4c10f1d4c4 · inbound

Universality in Relativistic Spinning Particle Models cites this paper.

Universality in Relativistic Spinning Particle Models Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

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Resolution: metadata mismatch; arxiv_id, observed 2026-07-21T02:20:33.773347Z

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Observation 38e980b9-8896-4a6e-b489-d646c477903d · inbound

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Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

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Resolution: verified exact; arxiv_id, observed 2026-07-21T02:20:33.773347Z

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Observation c5a11d29-1b8a-4cff-aed2-489173611918 · inbound

Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion cites this paper.

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Resolution: verified exact; arxiv_id, observed 2026-07-21T02:20:33.773347Z

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Observation 8f8024ad-5ff3-49c2-ad3e-4fa099e12646 · inbound

Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion cites this paper.

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-21T02:20:33.773347Z

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Observation 5f2aee19-69eb-44af-b2a7-1de1f1823d38 · inbound

Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion cites this paper.

Reference 37

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Observation 73e1bb50-5ed2-4537-9002-a72a14f7eb3b · inbound

Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries cites this paper.

Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

Reference 101

Resolution: verified exact; arxiv_id, observed 2026-07-21T02:20:33.773347Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1e2a42cc-9c8e-40c0-9cb8-6799747fc66f · inbound

Octupole moments and the non-universality of free-fall in general relativity cites this paper.

Octupole moments and the non-universality of free-fall in general relativity Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-01T07:59:48.720251Z

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Observation 43d1172e-c38f-46f8-bce2-a5044864233f · inbound

Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos cites this paper.

Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

Reference 71

Resolution: unresolved; no resolver link, observed 2026-07-30T11:32:37.996631Z

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