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Paper Citation Record · LEDGER

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates

As of 17 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 4 inbound Pith citation observations for arXiv:2601.06743.

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pith.paper-citation-record.v1
2601.06743 v3

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measured 87 of 87 reference resolution

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:25:31.293498Z

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Source: arxiv_reference, observed 2026-05-12T01:46:14.460703Z

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Outbound references

Observation a2d24f15-804b-4914-b5d0-fee1098be71f · outbound

This paper cites an unresolved cited work.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Unresolved cited work

Reference 1

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Observation 6a5f2ae2-08cd-4118-944e-6b08eaa8aec6 · outbound

This paper cites instantaneous.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates instantaneous

Reference 2

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Observation 6ddc3ec7-bcd2-42a0-92b8-1439e42c8777 · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Unresolved cited work

Reference 3

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Observation c66266d6-d0de-449c-b098-0fb32e19aa91 · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Unresolved cited work

Reference 4

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Observation 1c0fd93b-c365-4832-9972-51ebbcf4fed1 · outbound

This paper cites Putting together the four categories of contributions, we obtain □−1 inst,□ Ω 00 (2) = 14G3m 3c11 W (4) ,(A38) while the commutator of the other components of Ωαβ (2) vanishes.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Putting together the four categories of contributions, we obtain □−1 inst,□ Ω 00 (2) = 14G3m 3c11 W (4) ,(A38) while the commutator of the other components of Ωαβ (2) vanishes

Reference 5

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Observation 73b1ed63-2e6e-48af-bb8b-3006f481e8b5 · outbound

This paper cites Chandrasekhar and F.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Chandrasekhar and F

Reference 6

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Observation a61522aa-a35f-447e-ad39-637599157709 · outbound

This paper cites Burke and K.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Burke and K

Reference 7

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Observation 12518a3e-49f7-4540-bf00-3486783c44d4 · outbound

This paper cites Burke, Gravitational radiation damping of slowly moving systems calculated using matched asymptotic expansions, J.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Burke, Gravitational radiation damping of slowly moving systems calculated using matched asymptotic expansions, J

Reference 8

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Observation 52b36125-e352-4008-b308-7eb612dfb885 · outbound

This paper cites Misner, K.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Misner, K

Reference 9

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Observation 397bc5db-b7fe-4617-8310-0db2e72dcaa5 · outbound

This paper cites Miller, The effect of gravitational radiation-reaction on the evolution of the riemann s-type ellipsoids, Astrophys.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Miller, The effect of gravitational radiation-reaction on the evolution of the riemann s-type ellipsoids, Astrophys

Reference 10

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Observation 336165c4-01c7-4afd-b0b9-abf6c5517d1a · outbound

This paper cites Walker and C.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Walker and C

Reference 11

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Observation ad6a4f56-0ab4-441a-a674-f4ac6e06154f · outbound

This paper cites Ehlers, Isolated systems in general relativity, Ann.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Ehlers, Isolated systems in general relativity, Ann

Reference 12

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Observation 1eea6943-7768-4d46-95d6-eb6d01856549 · outbound

This paper cites Kerlick, Finite reduced hydrodynamic equations in the slow-motion approximation to general relativity.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Kerlick, Finite reduced hydrodynamic equations in the slow-motion approximation to general relativity

Reference 13

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Observation 8face1ec-c136-4d3c-8128-0de609165278 · outbound

This paper cites Kerlick, Finite reduced hydrodynamic equations in the slow-motion approximation to general relativity.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Kerlick, Finite reduced hydrodynamic equations in the slow-motion approximation to general relativity

Reference 14

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Observation 98d0d46a-a805-41b6-b608-6337d184fefe · outbound

This paper cites Papapetrou and B.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Papapetrou and B

Reference 15

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Observation de1a4310-9364-4304-921e-61de04d12a85 · outbound

This paper cites Sch¨ afer, The equations of motion for an astrophysical binary with accuracy 1/c 5, Progress of Theoretical Physics68, 2191 (1982).

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Sch¨ afer, The equations of motion for an astrophysical binary with accuracy 1/c 5, Progress of Theoretical Physics68, 2191 (1982)

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Observation 71abc27d-5a63-4c67-9d01-5899dfd26096 · outbound

This paper cites Blanchet and T.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet and T

Reference 17

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Observation d21682d2-bdc6-47cf-b546-1f4506a1dbd3 · outbound

This paper cites Damour, An introduction to the theory of gravitational radiation, inGravitation in Astrophysics.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Damour, An introduction to the theory of gravitational radiation, inGravitation in Astrophysics

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Observation 5cbbcc96-a734-4b2f-8a94-d166ea524573 · outbound

This paper cites Sch¨ afer, On often used gauge transformations in gravitational radiation reaction calculations, Lett.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Sch¨ afer, On often used gauge transformations in gravitational radiation reaction calculations, Lett

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Observation 3489a59f-cb51-43f2-be2d-b7c0d28ac046 · outbound

This paper cites Damour, Probl` eme des deux corps et freinage de rayonnement en relativit´ e g´ en´ erale, C.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Damour, Probl` eme des deux corps et freinage de rayonnement en relativit´ e g´ en´ erale, C

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Observation d7451e68-3e5d-45b2-bd3d-da0a006b0d6c · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Damour, Gravitational radiation reaction in the binary pulsar and the quadrupole formula controvercy, Phys

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Observation 55a445cb-f491-42a3-9c21-7a86c4a72adc · outbound

This paper cites Iyer and C.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Iyer and C

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Observation a484828f-5388-49ad-9b8b-90618c39581f · outbound

This paper cites Iyer and C.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Iyer and C

Reference 23

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Observation 762040f8-6bbb-42db-b0e2-fd7d3f5fc432 · outbound

This paper cites Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies

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Observation 5111079a-7a70-4b5b-a278-0f4e62c02d29 · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet, Time asymmetric structure of gravitational radiation, Phys

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Observation 0995373b-da98-4379-a659-76269651a966 · outbound

This paper cites Gravitational radiation reaction and balance equations to post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Gravitational radiation reaction and balance equations to post-Newtonian order

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Observation 61ac0c57-92b9-40fa-b8d3-40a9da09033d · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Jaranowski and G

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Observation 418ac8bf-30d3-4816-8639-45db94e6539b · outbound

This paper cites Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order

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Observation 6841d26a-d10c-4219-bd26-877eac1ae3d7 · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Photometric Variability at the L/T Dwarf Boundary

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Observation bb14a3b2-6069-4008-a3b0-59b30dd87b78 · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order

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Observation eeac5b89-e2bb-47d6-908e-a7c1165cfc8c · outbound

This paper cites Third-and-a-half order post-Newtonian equations of motion for relativistic compact binaries using the strong field point particle limit.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Third-and-a-half order post-Newtonian equations of motion for relativistic compact binaries using the strong field point particle limit

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Observation 9e164c3f-2a18-4090-a48a-e6551fce5802 · outbound

This paper cites Blanchet, G.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet, G

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source=pdf_text observed=2026-08-03T11:27:02.791419Z digest=sha256:ffd0db53110f9773791c012c53ed3dcc690ecc4850fddf44ced4bde34dd07b0c

Observation e8984442-e79f-4b33-9313-7339bc7bf74b · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Radiation Reaction for Non-Spinning Bodies at 4.5PN in the Effective Field Theory Approach

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Observation cb0fd4fd-7233-44fd-8729-ae926bac8a9f · outbound

This paper cites Blanchet and T.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet and T

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Observation dbd7a949-6c6f-4ce2-b5a6-83cb83bad0bc · outbound

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Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet, Radiative gravitational fields in general relativity

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Observation a2211097-7861-486c-b48d-3107915f39e8 · outbound

This paper cites Blanchet and T.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet and T

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Observation 69cf0610-f702-4ebb-98f8-b80b11682892 · outbound

This paper cites Blanchet and T.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet and T

Reference 37

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Observation 0bbef6e2-36cb-4fbc-8ade-4b025ae80eea · outbound

This paper cites On the multipole expansion of the gravitational field.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates On the multipole expansion of the gravitational field

Reference 38

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Observation f5489863-19c1-4ca3-b188-08e618f7382c · outbound

This paper cites Post-Newtonian approximation for isolated systems calculated by matched asymptotic expansions.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Post-Newtonian approximation for isolated systems calculated by matched asymptotic expansions

Reference 39

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Observation b16d5147-31d1-4591-a0c8-8c474973ad93 · outbound

This paper cites Blanchet, G.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet, G

Reference 40

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Observation 4bcd04d0-892b-4050-8c40-d78ac519806d · outbound

This paper cites Schott, On the motion of the lorentz electron, Phil.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Schott, On the motion of the lorentz electron, Phil

Reference 41

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source=pdf_text observed=2026-08-03T11:27:03.993774Z digest=sha256:a7080d5103322a8ad2e1663efc006a56d39632db09209ae2acc6cddfb90fb581

Observation 7c80f0f6-dfa7-4bf8-aa92-ec4c76c76539 · outbound

This paper cites Explicit solution of the gravitational two-body problem at the second post-Minkowskian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Explicit solution of the gravitational two-body problem at the second post-Minkowskian order

Reference 42

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source=pdf_text observed=2026-08-03T11:27:04.161757Z digest=sha256:302e557638267062621a701b8b669768cd9b271d81bd7843db3ab4862507a6b4

Observation c8d839fa-ccb1-4d56-b099-346f944198af · outbound

This paper cites Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems

Reference 43

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source=pdf_text observed=2026-08-03T11:27:04.242648Z digest=sha256:21bd53fffe00825f7c5f1073249238bc30610c8c08957f9232e220e5cef36638

Observation c91d2c33-72ac-4be1-ab9e-2856fc12e45f · outbound

This paper cites Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian

Reference 44

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source=pdf_text observed=2026-08-03T11:27:04.246091Z digest=sha256:3fcc5cfb98d3414a6df39aeaaa9c08a33510f9694ae6e3beec37fd17f96f2267

Observation 23d19d75-6b0d-49a1-b479-ffdc776ab8f5 · outbound

This paper cites Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation

Reference 45

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source=pdf_text observed=2026-08-03T11:27:04.249225Z digest=sha256:eaebb32cda5fef96601d70d0d7fd8ae342b1b0be88309d5978825548c221f16a

Observation c65d32dd-bb32-422f-afa9-3bdf928dde4e · outbound

This paper cites Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems

Reference 46

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source=pdf_text observed=2026-08-03T11:27:04.252738Z digest=sha256:f44f2e0fe252dbc26477cc33e47aec597644c296bc7876eb280999aeeae3cd7f

Observation 0fe9fbf9-72ca-451d-a37f-6ae94ae10e34 · outbound

This paper cites Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries

Reference 47

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source=pdf_text observed=2026-08-03T11:27:04.255868Z digest=sha256:8069013b151b08d44f10940753a5030e6a620038a481391a615b2a8459bf007e

Observation be7d1be3-c6cf-49fc-bbdc-f4331c8a61bc · outbound

This paper cites Fourth post-Newtonian effective one-body dynamics.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Fourth post-Newtonian effective one-body dynamics

Reference 48

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source=pdf_text observed=2026-08-03T11:27:04.258865Z digest=sha256:2d3a90e3c25700d0ca032968b43b7fadcf71cde99093c02a19c194ad26a66e6f

Observation 38b1a14b-4f63-45cd-92ab-4efde9bd3276 · outbound

This paper cites Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation

Reference 49

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source=pdf_text observed=2026-08-03T11:27:04.261905Z digest=sha256:fd5ec5af9d958427d695ebf24e0424b4ef50375092834211cbbe22bd552a68d2

Observation 3f1bf994-5c99-4390-8cbd-dcd470512289 · outbound

This paper cites Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order

Reference 50

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source=pdf_text observed=2026-08-03T11:27:04.265109Z digest=sha256:15628ccf3cb772162cf01f3c614568fc84e80893a9a73ed20f20636f7dc3e0f0

Observation 97fff99a-5028-41ab-a6e8-d695608c4897 · outbound

This paper cites Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order

Reference 51

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source=pdf_text observed=2026-08-03T11:27:04.268455Z digest=sha256:881ad157218ae4c01f4f27d74183a3dab594c530b48d4416ae166b4c284497c1

Observation 1716ce15-28dd-41d1-bf9c-93cfce9615ef · outbound

This paper cites Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order

Reference 52

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source=pdf_text observed=2026-08-03T11:27:04.271465Z digest=sha256:aafee089268b520754600d02df466c58040ce9101c92c61974afba143e8fd98d

Observation 235389bb-0b92-4011-b6ec-33e15b44a801 · outbound

This paper cites Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order

Reference 53

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source=pdf_text observed=2026-08-03T11:27:04.274595Z digest=sha256:549626a92041ac6d0152f60fb842bf2ad52a2e86847a872af51e7ce94e4630c6

Observation eed274cd-5ec1-4431-8ebb-868201e3ab02 · outbound

This paper cites The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant

Reference 54

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no resolver link, observed 2026-08-03T11:27:04.277665Z

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source=pdf_text observed=2026-08-03T11:27:04.277665Z digest=sha256:0ccea9765469e0b00ec6e315e8f5612888f3a94041262efa01fec92bd1eaf72a

Observation 35bffa52-a0ac-4608-af1f-3d1a074603bd · outbound

This paper cites Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant

Reference 55

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source=pdf_text observed=2026-08-03T11:27:04.281078Z digest=sha256:293e46b9005639a4c922366c993aaff89f8284a7ae3e44345787e861d31db89b

Observation 5ba09a28-a531-4a42-846f-c6f06c6489ab · outbound

This paper cites Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes

Reference 56

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source=pdf_text observed=2026-08-03T11:27:04.284240Z digest=sha256:4e9e0cef735de8bfe02242a8463b0252ce5ef45cac624fad6a5d22e55054cd12

Observation 75f93cb4-4b37-4501-935c-ae6eff57e2d6 · outbound

This paper cites Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian

Reference 57

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source=pdf_text observed=2026-08-03T11:27:04.287267Z digest=sha256:f4d8a1d0289bc89e553e1f624cf3bd866887a619194b757cda75ffdef98cae59

Observation 6c710054-2223-4b4e-a89b-1990d5e11e9a · outbound

This paper cites Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian

Reference 58

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source=pdf_text observed=2026-08-03T11:27:04.290484Z digest=sha256:263cb739a87bcef3cec3423668f2f161601fc267ac0928648b251123d6e72949

Observation d676d4af-d591-42fe-b6da-ffbf7f31d8f7 · outbound

This paper cites Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

Reference 59

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source=pdf_text observed=2026-08-03T11:27:04.294075Z digest=sha256:18e334b99b3c05f2d06ace50da1650c6487d39395b1496d4550c67773fbb7766

Observation aadf8aab-70f4-44e2-b544-99c40747337e · outbound

This paper cites Tail terms in gravitational radiation reaction via effective field theory.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Tail terms in gravitational radiation reaction via effective field theory

Reference 60

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source=pdf_text observed=2026-08-03T11:27:04.297421Z digest=sha256:5a3edf6e0753ec97afc46ae96a3273c6d511210044ec9677d4f9e164d6e6306c

Observation 39fc8804-0b04-4bc2-8213-6275fa31cd7e · outbound

This paper cites The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution

Reference 61

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source=pdf_text observed=2026-08-03T11:27:04.300563Z digest=sha256:2941a3354d4b10079d9fb27a96708801d86550bc87937302710e9cab693ba86f

Observation e3b889f5-299b-4f0a-b88e-be96c120be82 · outbound

This paper cites Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order

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source=pdf_text observed=2026-08-03T11:27:04.303572Z digest=sha256:cf6034728b5f5b63a73e7433fbb4ac87c08b7bd6cb02dd9719ab33623ceef51f

Observation 5c48b1db-1bc8-4ee0-82c6-d60cd8b28ff8 · outbound

This paper cites Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order

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source=pdf_text observed=2026-08-03T11:27:04.306832Z digest=sha256:6903d1e1e812fd137dfcbdfe0bfdeefea5447fe120280b1e76f13c34f1116569

Observation 7cb99133-e1d3-4e3a-bc21-0c43d4667b58 · outbound

This paper cites Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order

Reference 64

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source=pdf_text observed=2026-08-03T11:27:04.309854Z digest=sha256:81617faeb3432436010283ae83f5075f6a17eae12f1240c05bf5ce02d745f656

Observation 6ad33ea2-b9c3-4477-be50-4b589408b1e3 · outbound

This paper cites Sachs and P.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Sachs and P

Reference 65

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source=pdf_text observed=2026-08-03T11:27:04.312712Z digest=sha256:a14aea0c13ccc7ec0a588334a9af48bf149f9b13b2b281fed6a6b17bb5a355a1

Observation 4589a774-fb86-4b86-bff3-efba8b051201 · outbound

This paper cites Pirani, Introduction to gravitational radiation theory, inLectures on General Relativity, Brandeis Summer Institute in Theoretical Physics, Vol.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Pirani, Introduction to gravitational radiation theory, inLectures on General Relativity, Brandeis Summer Institute in Theoretical Physics, Vol

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source=pdf_text observed=2026-08-03T11:27:04.315902Z digest=sha256:c7b5ac51d83a805808aaa088d51b55fcd1097d3be7096eac6cff05a0f14728ba

Observation 8891a74b-47bb-4243-97b4-9c05e658d396 · outbound

This paper cites Thorne, Multipole expansions of gravitational radiation, Rev.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Thorne, Multipole expansions of gravitational radiation, Rev

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source=pdf_text observed=2026-08-03T11:27:04.321631Z digest=sha256:4965d0b6b48643f83fc5aca9984257ecba5141a5b60d9d68c453a2af29814ef0

Observation 42c49fb0-adf7-4183-bc1f-f715bc9153c5 · outbound

This paper cites Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses

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source=pdf_text observed=2026-08-03T11:27:04.329627Z digest=sha256:fb69c1bad76705918cf908211cd50151e29dd7e82b2148f1080e3915e6ae2f43

Observation 213d734e-8184-4735-aa09-361ca414f8f6 · outbound

This paper cites The current-type quadrupole moment and gravitational-wave mode $(\ell,m)=(2,1)$ of compact binary systems at the third post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The current-type quadrupole moment and gravitational-wave mode $(\ell,m)=(2,1)$ of compact binary systems at the third post-Newtonian order

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source=pdf_text observed=2026-08-03T11:27:04.388883Z digest=sha256:72bd67eb12fafd7c08f57b171d0dcc927ac6d0809c2cdc4399e0d7679a2c782a

Observation 784d565b-12c3-4485-b54c-d6ac16c8569a · outbound

This paper cites Born and E.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Born and E

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source=pdf_text observed=2026-08-03T11:27:04.439547Z digest=sha256:210f23c85e43fedac3f7a3b37e4b208ed62117d5ccfdb67c91860e8e00a46d32

Observation 820a4897-89ea-4e91-9f28-7f23f67a94dd · outbound

This paper cites The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits

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source=pdf_text observed=2026-08-03T11:27:04.462710Z digest=sha256:70e99939f1a8b165dd0ae4bc130a2a14b533238267dcf4ed2a08ed16b8db8c3a

Observation bb4bfc36-11bf-4f6d-8b09-2e5f8ea0397c · outbound

This paper cites Blanchet, G.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet, G

Reference 72

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Observation 9df0df90-ee4e-4a8e-91e7-4021745c4211 · outbound

This paper cites Trestini, F.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Trestini, F

Reference 73

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source=pdf_text observed=2026-08-03T11:27:04.690924Z digest=sha256:5d88c12a97a715e05fc1c53b5e93ad447a61fa29c52e590630a14013f0b39835

Observation 11d523b0-247e-4495-87e0-86d145f20253 · outbound

This paper cites Blanchet and T.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet and T

Reference 74

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source=pdf_text observed=2026-08-03T11:27:04.780427Z digest=sha256:75868aec9f5179d87f1176a0a088d11a476ea4fc80af39d6e8346e1db7d92d1e

Observation ff517db2-518e-4b5b-9b30-ad8600350902 · outbound

This paper cites The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order

Reference 75

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Observation f7d02d32-bd11-4268-98ae-9c7747fcd3ea · outbound

This paper cites The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: I. Non-Locality in Time and Infra-Red Divergencies.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: I. Non-Locality in Time and Infra-Red Divergencies

Reference 76

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source=pdf_text observed=2026-08-03T11:27:04.993953Z digest=sha256:f66ad265837772b33c5919e8aeb079a2b13cb07867c59510c5335745da0a70b1

Observation a4d7fdc8-431c-4293-889f-2bf4d95cb948 · outbound

This paper cites The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: II. Dimensional Regularization and Renormalization.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: II. Dimensional Regularization and Renormalization

Reference 77

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source=pdf_text observed=2026-08-03T11:27:05.148869Z digest=sha256:67a8a661fe111f7eadebd4389e597621d57f2554e687b18798df70ac97e0aa21

Observation 5110753d-2540-4c27-9233-965c96cdf0b2 · outbound

This paper cites Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates

Reference 78

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source=pdf_text observed=2026-08-03T11:27:05.181068Z digest=sha256:c8027f318e5ecffad7d523dfa47ddb34ee585ad0b115b7ee93e78817ea3ed0f7

Observation 5d7de5e9-5176-4c75-a7cd-593bd4fec9a4 · outbound

This paper cites Hadamard Regularization.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Hadamard Regularization

Reference 79

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source=pdf_text observed=2026-08-03T11:27:05.222547Z digest=sha256:709b98c854d636250fa69aba649672c4a65367ca17116037114860aadf5721f6

Observation 6f136e58-a1d8-405e-ba14-819270879fee · outbound

This paper cites Schwartz,Th´ eorie des distributions(Hermann, Paris, 1978).

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Schwartz,Th´ eorie des distributions(Hermann, Paris, 1978)

Reference 80

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source=pdf_text observed=2026-08-03T11:27:05.266615Z digest=sha256:97e0e1577297b47266c86187f376cc7702b215e9c105b3aa77b8a591fdf369b3

Observation 7afa154d-d784-4a46-b73a-7c9a5b66ea93 · outbound

This paper cites an unresolved cited work.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Unresolved cited work

Reference 81

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source=pdf_text observed=2026-08-03T11:27:05.381016Z digest=sha256:92eacf011d36d6d1540f24f9fde241767a943f57de53d5e834063dad81d99594

Observation 5a2c49df-7aac-4bb6-87b0-078991820636 · outbound

This paper cites Note that this file is optimally read usingMathematica, but it can be straightforwardly parsed by any text editor.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Note that this file is optimally read usingMathematica, but it can be straightforwardly parsed by any text editor

Reference 82

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source=pdf_text observed=2026-08-03T11:27:05.463879Z digest=sha256:32d5bf56d9f756dddc8e87284104313d2c978446596ea849397a5dc6527b3a61

Observation 519f75ec-6c4a-4edb-b9fc-ff6b5cda8194 · outbound

This paper cites Post-Newtonian Evolution of Massive Black Hole Triplets in Galactic Nuclei: I. Numerical Implementation and Tests.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Post-Newtonian Evolution of Massive Black Hole Triplets in Galactic Nuclei: I. Numerical Implementation and Tests

Reference 83

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source=pdf_text observed=2026-08-03T11:27:05.541854Z digest=sha256:22c40ffd79403ce28978469f78a71925f8510274b86c3bff4dfe4bee24623b07

Observation a10bc17d-4e09-4c84-993a-58c668dc4aef · outbound

This paper cites Blanchet and G.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Blanchet and G

Reference 84

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source=pdf_text observed=2026-08-03T11:27:05.628509Z digest=sha256:fad076f3b094e0300aa9123450083ab77c81297fd4efb69f5486ca86b9f60f42

Observation 852c9bc3-3942-477e-a14a-854ce0a05761 · outbound

This paper cites Spin and Center of mass comparison between the PN approach and the asymptotic formulation.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Spin and Center of mass comparison between the PN approach and the asymptotic formulation

Reference 85

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source=pdf_text observed=2026-08-03T11:27:05.685600Z digest=sha256:cd81e9670c1a9c00af0039312a535760437e1c34924c2ca9530d0ad72bff2c45

Observation 34836921-9421-46b4-9f18-1064ce5e2a64 · outbound

This paper cites The Poincar\'e and BMS flux-balance laws with application to binary systems.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates The Poincar\'e and BMS flux-balance laws with application to binary systems

Reference 86

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source=pdf_text observed=2026-08-03T11:27:05.738275Z digest=sha256:3d8c68f47d7008ab77d759f588b014d47b3be68bbe1dc7462739151a76dd2434

Observation 36d3d235-cc58-43cf-b442-016e8cdaa262 · outbound

This paper cites Lorentzian regularization and the problem of point-like particles in general relativity.

Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates Lorentzian regularization and the problem of point-like particles in general relativity

Reference 87

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Pith citing papers

Observation 5528d6d0-464e-4cdc-aa2c-49b417c523dc · inbound

Quadrupolar bremsstrahlung waveform at the third-and-a-half post-Newtonian accuracy cites this paper.

Quadrupolar bremsstrahlung waveform at the third-and-a-half post-Newtonian accuracy Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates

Reference 33

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arxiv_id, observed 2026-05-26T02:02:29.300015Z

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source=pdf_text observed=2026-05-09T21:24:43.408101Z digest=sha256:835b9c952de0d566e86b069f5c47e4e4777f09178da4aec0bff2737ead093400

Observation 59f1ae79-de12-4adf-9573-7c907e961c7e · inbound

Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders cites this paper.

Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates

Reference 72

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arxiv_id, observed 2026-05-26T02:02:29.300015Z

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source=pdf_text observed=2026-05-07T15:40:27.649636Z digest=sha256:8ac6f12ce756dcc99a846fb7917f8b7f0c4d4ea58f1c90467aeb02c0e739ce05

Observation 79b7e11b-d61b-4e71-a861-ea6aa8adfded · inbound

Gravitational waveform from radial infall at the third-and-half Post-Newtonian order cites this paper.

Gravitational waveform from radial infall at the third-and-half Post-Newtonian order Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates

Reference 27

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verified exact
arxiv_id, observed 2026-05-26T02:02:29.300015Z

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source=pdf_text observed=2026-05-12T01:40:05.664304Z digest=sha256:f0956150f53edba1c6fb91aa54ceb2a972f657cf0f046e7114cc19e47ea4642d

Observation 45af7d04-ebb1-456c-9ab4-aadf21b18d62 · inbound

Radiation-reaction driven dynamics at the third-and-a-half post-Newtonian order in different gauges cites this paper.

Radiation-reaction driven dynamics at the third-and-a-half post-Newtonian order in different gauges Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates

Reference 15

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source=pdf_text observed=2026-08-12T13:25:31.293498Z digest=sha256:6c24f2aac1275a87bb0404e2ceba8af4374d2e74ab80ef9287fabbe1e3f39fcf