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Paper Citation Record · LEDGER

A topology-changing variational framework for the Einstein-Hilbert functional

As of 18 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2602.16457.

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2602.16457 v3

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measured 55 of 55 reference resolution

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55 of 55 outbound references displayed

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Outbound references

Observation 95e84db4-b8e9-40d2-8202-4f3c4423d25a · outbound

This paper cites an unresolved cited work.

A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 1

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Observation 48acea4e-62f9-4582-b7d6-5e55b1144d85 · outbound

This paper cites An introduction to the topological derivative.

A topology-changing variational framework for the Einstein-Hilbert functional An introduction to the topological derivative

Reference 2

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Observation 2064cf34-3aa2-43c7-a69a-e5e8bd0483de · outbound

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 3

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Observation 2ee0bcd9-b6f7-4ce6-9501-a8b1748a30d3 · outbound

This paper cites Recent Developments on Hamilton’s Ricci flow.

A topology-changing variational framework for the Einstein-Hilbert functional Recent Developments on Hamilton’s Ricci flow

Reference 4

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Observation 80953942-fb51-414f-bebe-99155fe8b744 · outbound

This paper cites Cartan,Sur les ´ equations de la gravitation d’Einstein, Journal de Math´ ematiques Pures et Appliqu´ ees, S´ erie 9, Tome 1 (1922), 141–203.

A topology-changing variational framework for the Einstein-Hilbert functional Cartan,Sur les ´ equations de la gravitation d’Einstein, Journal de Math´ ematiques Pures et Appliqu´ ees, S´ erie 9, Tome 1 (1922), 141–203

Reference 5

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Observation b9c699a7-4c47-4325-8cca-b64837caf5d6 · outbound

This paper cites First-order equivalent to Einstein-Hilbert Lagrangian,.

A topology-changing variational framework for the Einstein-Hilbert functional First-order equivalent to Einstein-Hilbert Lagrangian,

Reference 6

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Observation e08e6427-b5d5-47d0-9f89-b61ceefc346b · outbound

This paper cites A Simple Intrinsic Proof of the Gauss–Bonnet Formula for Closed Riemannian Manifolds,.

A topology-changing variational framework for the Einstein-Hilbert functional A Simple Intrinsic Proof of the Gauss–Bonnet Formula for Closed Riemannian Manifolds,

Reference 7

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Observation d12349c7-22d6-497a-9474-9b9c46333191 · outbound

This paper cites Christodoulou,The Action Principle and Partial Differential Equations, Princeton University Press (2000).

A topology-changing variational framework for the Einstein-Hilbert functional Christodoulou,The Action Principle and Partial Differential Equations, Princeton University Press (2000)

Reference 8

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Observation 295693d3-ec11-49ed-a9bf-2c5925583b5a · outbound

This paper cites On the conformal scalar curvature equation and related problems.

A topology-changing variational framework for the Einstein-Hilbert functional On the conformal scalar curvature equation and related problems

Reference 9

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Observation 61c933c2-8325-4b4b-ba9c-d41e2c648bb0 · outbound

This paper cites Black holes as red herrings: Topological fluctuations and the loss of quantum coherence,.

A topology-changing variational framework for the Einstein-Hilbert functional Black holes as red herrings: Topological fluctuations and the loss of quantum coherence,

Reference 10

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Observation 4ba1b3fe-9583-4f6b-af25-30078bed37a8 · outbound

This paper cites Elliptic equations of Yamabe type.

A topology-changing variational framework for the Einstein-Hilbert functional Elliptic equations of Yamabe type

Reference 11

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Observation 710c32ca-b971-4bdf-8f76-4c74da28f1ed · outbound

This paper cites D¨ utsch,From Classical Field Theory to Perturbative Quantum Field Theory, Progress in Mathematical Physics, vol.

A topology-changing variational framework for the Einstein-Hilbert functional D¨ utsch,From Classical Field Theory to Perturbative Quantum Field Theory, Progress in Mathematical Physics, vol

Reference 12

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Observation e64c982e-baa7-4330-8c9f-d624e46cc899 · outbound

This paper cites The manifold of Riemannian metrics,.

A topology-changing variational framework for the Einstein-Hilbert functional The manifold of Riemannian metrics,

Reference 13

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Observation b30ee2d0-9a4e-4394-babf-888e8c642c4f · outbound

This paper cites Einstein,Die Feldgleichungen der Gravitation, Sitzungsberichte der K¨ oniglich Preussischen Akademie der Wissenschaften (1915), 844–847.

A topology-changing variational framework for the Einstein-Hilbert functional Einstein,Die Feldgleichungen der Gravitation, Sitzungsberichte der K¨ oniglich Preussischen Akademie der Wissenschaften (1915), 844–847

Reference 14

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 15

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Observation 05a7122b-ccd1-4682-9d4f-9a9fd509a12d · outbound

This paper cites The Weiss Variation of the Gravitational Action.

A topology-changing variational framework for the Einstein-Hilbert functional The Weiss Variation of the Gravitational Action

Reference 16

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Observation e32ee7ab-01c8-4513-92f7-9d00e403567b · outbound

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 17

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 18

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Observation 6cb424c1-ff4e-4208-8871-45906740313e · outbound

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 19

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Observation 4ea7e8f8-0e00-4c61-b15d-1587f204f235 · outbound

This paper cites Loss of incoherence and determination of coupling constants in quantum gravity,.

A topology-changing variational framework for the Einstein-Hilbert functional Loss of incoherence and determination of coupling constants in quantum gravity,

Reference 20

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Observation 4d2aef5e-16c9-4ee7-a99a-93484df5d239 · outbound

This paper cites Gilbarg and N.

A topology-changing variational framework for the Einstein-Hilbert functional Gilbarg and N

Reference 21

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Observation 0ff60db6-9dc1-4414-b5fa-ef5dcf2857bd · outbound

This paper cites Dynamical and Hamiltonian Formulation of General Relativity.

A topology-changing variational framework for the Einstein-Hilbert functional Dynamical and Hamiltonian Formulation of General Relativity

Reference 22

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Observation 3bb03c76-86cf-44bd-a3e5-d42d09e9953c · outbound

This paper cites Quantum gravity at two loops,.

A topology-changing variational framework for the Einstein-Hilbert functional Quantum gravity at two loops,

Reference 23

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Observation 9c25faf7-bdea-4b7e-ae9f-99155346e7de · outbound

This paper cites Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory.

A topology-changing variational framework for the Einstein-Hilbert functional Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory

Reference 24

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Observation df5e1222-0337-4fe1-bcb1-83038afdf014 · outbound

This paper cites Space-time foam,.

A topology-changing variational framework for the Einstein-Hilbert functional Space-time foam,

Reference 25

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Observation e4a3be01-ab10-4e20-aa7b-48e84ee77ccd · outbound

This paper cites The Unpredictability of Quantum Gravity,.

A topology-changing variational framework for the Einstein-Hilbert functional The Unpredictability of Quantum Gravity,

Reference 26

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Observation 8342a808-5209-40f3-88e5-0c0d59859896 · outbound

This paper cites Hebey,Sobolev Spaces on Riemannian Manifolds, Lecture Notes in Mathematics, vol.

A topology-changing variational framework for the Einstein-Hilbert functional Hebey,Sobolev Spaces on Riemannian Manifolds, Lecture Notes in Mathematics, vol

Reference 27

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Observation a6bf264c-008e-421f-99dc-cbc941bf15d4 · outbound

This paper cites Hilbert,Die Grundlagen der Physik, Nachrichten von der Gesellschaft der Wissenschaften zu G¨ ottingen, Mathematisch- Physikalische Klasse (1915), 395–407.

A topology-changing variational framework for the Einstein-Hilbert functional Hilbert,Die Grundlagen der Physik, Nachrichten von der Gesellschaft der Wissenschaften zu G¨ ottingen, Mathematisch- Physikalische Klasse (1915), 395–407

Reference 28

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Observation 146e3ef9-c5ff-475b-83e9-a8d0593c9b2b · outbound

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 29

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Observation 15ca5d4a-035b-48bf-8f7f-47083c12b2f1 · outbound

This paper cites Holst,Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action, Phys.

A topology-changing variational framework for the Einstein-Hilbert functional Holst,Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action, Phys

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Observation f32c90ae-8f8e-42a1-a5d0-8d3008006f17 · outbound

This paper cites Singular hypersurfaces and thin shells in general relativity.

A topology-changing variational framework for the Einstein-Hilbert functional Singular hypersurfaces and thin shells in general relativity

Reference 31

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Observation cd8ad08b-0002-4492-b34d-a9646b5e9251 · outbound

This paper cites Zum Unit¨ atsproblem der Physik,.

A topology-changing variational framework for the Einstein-Hilbert functional Zum Unit¨ atsproblem der Physik,

Reference 32

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Observation ea309054-d725-4943-ad8b-4cac89dccb23 · outbound

This paper cites Khakshournia and R.

A topology-changing variational framework for the Einstein-Hilbert functional Khakshournia and R

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This paper cites Quantum theory and five-dimensional relativity,.

A topology-changing variational framework for the Einstein-Hilbert functional Quantum theory and five-dimensional relativity,

Reference 34

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Observation 11a1489c-c02e-4535-b614-4519a992e4a4 · outbound

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 35

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Observation aef34efb-980e-4526-9f8b-9decaea1e24d · outbound

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A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 36

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Observation d2f9d20b-0be0-4f5e-a4f0-689acb1acc47 · outbound

This paper cites The Yamabe problem.

A topology-changing variational framework for the Einstein-Hilbert functional The Yamabe problem

Reference 37

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Observation 29a5e057-4b7d-4247-a234-443a5216f1c9 · outbound

This paper cites Gravitational action with null boundaries,.

A topology-changing variational framework for the Einstein-Hilbert functional Gravitational action with null boundaries,

Reference 38

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Observation ebca8a8e-442e-4b7c-bfe9-12c32aa8e86d · outbound

This paper cites Geometry of General Hypersurfaces in Spacetime: Junction Conditions.

A topology-changing variational framework for the Einstein-Hilbert functional Geometry of General Hypersurfaces in Spacetime: Junction Conditions

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source=pdf_text observed=2026-08-02T22:42:04.427182Z digest=sha256:f738fd2468e90dbf8f16e3a6becda7a54206c98455aa8abdd1b82b585883c534

Observation 8ee98de9-9da3-42ba-af52-fa545a111b46 · outbound

This paper cites Scalar curvature under the collapse of metric.

A topology-changing variational framework for the Einstein-Hilbert functional Scalar curvature under the collapse of metric

Reference 40

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source=pdf_text observed=2026-08-02T22:42:04.561897Z digest=sha256:797a4870cc9c9c0587cd1a760dc6294aa96a83276e9861160c073fbe2a4c49a9

Observation 22fa8b1d-5191-48e5-bc5c-6f08c372fde8 · outbound

This paper cites Kaluza–Klein gravity,.

A topology-changing variational framework for the Einstein-Hilbert functional Kaluza–Klein gravity,

Reference 41

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Observation 96e30f51-e5c3-4bc1-9c64-854e6fab0574 · outbound

This paper cites Palatini,Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton, Rendiconti del Circolo Matematico di Palermo43(1919), 203–212.

A topology-changing variational framework for the Einstein-Hilbert functional Palatini,Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton, Rendiconti del Circolo Matematico di Palermo43(1919), 203–212

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source=pdf_text observed=2026-08-02T22:42:04.853796Z digest=sha256:340dc7845f0b726c4350aab598c4d94dbba393aa3ed3f162a71f4607082378e2

Observation b98b602a-b072-432d-830f-e551e9fae2f5 · outbound

This paper cites A Boundary Term for the Gravitational Action with Null Boundaries.

A topology-changing variational framework for the Einstein-Hilbert functional A Boundary Term for the Gravitational Action with Null Boundaries

Reference 43

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source=pdf_text observed=2026-08-02T22:42:04.977722Z digest=sha256:15b3bffa56d4ec8632b5fc4f39c4ae2175f3d8dab4beebb897da107413761646

Observation 6ad30dc2-2003-461f-bda7-497076d8a4bd · outbound

This paper cites Simon,Functional Integration and Quantum Physics, Academic Press, New York (1974).

A topology-changing variational framework for the Einstein-Hilbert functional Simon,Functional Integration and Quantum Physics, Academic Press, New York (1974)

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Observation e382aa2b-07db-436c-8a39-10eb9ed2e692 · outbound

This paper cites an unresolved cited work.

A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 45

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source=pdf_text observed=2026-08-02T22:42:05.272049Z digest=sha256:22e35263485c667126ebff5525f89debab0b387ca4efaa36c0b7b2b24522e929

Observation 77bf192c-9b57-462a-9937-0ba43acc1f46 · outbound

This paper cites Classical Gravity with Higher Derivatives,.

A topology-changing variational framework for the Einstein-Hilbert functional Classical Gravity with Higher Derivatives,

Reference 46

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source=pdf_text observed=2026-08-02T22:42:05.416765Z digest=sha256:fa2181ef914e9a40c7c7055a65ae7bad14f3cc9b89d0216f090412ff33c93bc1

Observation 61161be3-085f-43c6-9068-e4d79488c217 · outbound

This paper cites One-loop divergencies in the theory of gravitation,.

A topology-changing variational framework for the Einstein-Hilbert functional One-loop divergencies in the theory of gravitation,

Reference 47

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source=pdf_text observed=2026-08-02T22:42:05.610696Z digest=sha256:6ef4ef4328c8e558fd1eccfcb870a7b107dd427525d8efa3a22db9274bd3b60c

Observation b631dd18-24f0-49ad-af5b-6c2b28c5650a · outbound

This paper cites Topping,Lectures on the Ricci Flow, London Mathematical Society Lecture Note Series325, Cambridge University Press (2010).

A topology-changing variational framework for the Einstein-Hilbert functional Topping,Lectures on the Ricci Flow, London Mathematical Society Lecture Note Series325, Cambridge University Press (2010)

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Observation 02862e3e-e6fb-42cb-ab81-d4024e8691e8 · outbound

This paper cites Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes,.

A topology-changing variational framework for the Einstein-Hilbert functional Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes,

Reference 49

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Observation 90175b56-1b23-40e7-83cd-0fe6a3091147 · outbound

This paper cites an unresolved cited work.

A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 50

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Observation 43e08549-1712-4e91-bae3-ae7e5945353d · outbound

This paper cites Variation Problems of Higher Order with Variable End Points,.

A topology-changing variational framework for the Einstein-Hilbert functional Variation Problems of Higher Order with Variable End Points,

Reference 51

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source=pdf_text observed=2026-08-02T22:42:06.197245Z digest=sha256:0c732308b7cbd7e6241a7d1d9f756dc94811fd76c7ae03ad590b913ce3c0e705

Observation 7b00f9bb-8bd0-4091-84a2-1b5de88e7811 · outbound

This paper cites On the Nature of Quantum Geometrodynamics,.

A topology-changing variational framework for the Einstein-Hilbert functional On the Nature of Quantum Geometrodynamics,

Reference 52

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Observation 89bc841f-9ad6-43ae-a0eb-58d05091a5fc · outbound

This paper cites Differentiable manifolds,.

A topology-changing variational framework for the Einstein-Hilbert functional Differentiable manifolds,

Reference 53

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source=pdf_text observed=2026-08-02T22:42:06.470958Z digest=sha256:6c3d7fb83c62de641a654a3f98dd35bf7be619b9de53a4e41cb344f40e8e6b4f

Observation f729ec21-0850-47d1-a4c2-8e29f2f65ac9 · outbound

This paper cites Quantum Gravity In De Sitter Space.

A topology-changing variational framework for the Einstein-Hilbert functional Quantum Gravity In De Sitter Space

Reference 54

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source=pdf_text observed=2026-08-02T22:42:06.558739Z digest=sha256:0503c2c98908b899ea651587ab05a5896fb308e994383163736b537ead295278

Observation d11d2a15-f352-465a-9183-ae995b650ec3 · outbound

This paper cites an unresolved cited work.

A topology-changing variational framework for the Einstein-Hilbert functional Unresolved cited work

Reference 55

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