Paper Citation Record · LEDGER

The geometry of photon surfaces

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 42 inbound Pith citation observations for arXiv:gr-qc/0005050.

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pith.paper-citation-record.v1
gr-qc/0005050 v2

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measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 42 of 42 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:56:40.950352Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-04T04:19:34.866205Z

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Outbound references

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Pith citing papers

Observation 34b75ae6-3e0c-45b4-a14e-fc63fc9830d8 · inbound

How does a collapsing star look? cites this paper.

How does a collapsing star look? The geometry of photon surfaces

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T13:59:29.404161Z

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Observation aa4c04f8-44f5-45fe-9030-b2e7ce015155 · inbound

Shadows and accretion disk images of charged rotating black hole in modified gravity theory cites this paper.

Shadows and accretion disk images of charged rotating black hole in modified gravity theory The geometry of photon surfaces

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:28.536622Z

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Observation ba8d816e-5c76-49f0-991a-7c5e62b25c74 · inbound

Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics cites this paper.

Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics The geometry of photon surfaces

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-12T05:39:38.395471Z

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Observation 0057aa25-6a3e-47de-bb89-f2efeea8d349 · inbound

Black hole in the Dekel-Zhao dark matter profile cites this paper.

Black hole in the Dekel-Zhao dark matter profile The geometry of photon surfaces

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-10T17:11:33.299647Z

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Observation 0475e513-3ccc-45b6-9b98-b5bd6d37260f · inbound

Novel charged black hole solutions in conformal Killing gravity cites this paper.

Novel charged black hole solutions in conformal Killing gravity The geometry of photon surfaces

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-09T18:35:57.777095Z

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Observation 1d1eddeb-0950-4a4a-9177-eca16e9d0eaf · inbound

Massive particle surfaces and black hole shadows from intrinsic curvature cites this paper.

Massive particle surfaces and black hole shadows from intrinsic curvature The geometry of photon surfaces

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-22T23:32:15.263470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 51939dbd-385e-4156-81be-9ef51567c357 · inbound

Deflection of Light due to Kerr Sen Black Hole in Heterotic String Theory using Material Medium Approach cites this paper.

Deflection of Light due to Kerr Sen Black Hole in Heterotic String Theory using Material Medium Approach The geometry of photon surfaces

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-05-22T20:42:05.339289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6cbb51cc-c464-4ac4-9c84-2207c9413db3 · inbound

Geodesic dynamics in brane-de Sitter wormholes cites this paper.

Geodesic dynamics in brane-de Sitter wormholes The geometry of photon surfaces

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-16T10:56:40.950352Z

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Observation 8d036004-f506-4e10-89a0-2a4176268a3f · inbound

Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength cites this paper.

Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength The geometry of photon surfaces

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-16T10:31:27.214636Z

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Observation 35e64791-72b2-41b6-967f-0d06214f8a97 · inbound

Black Hole Solutions in Dark Photon Models with Higher Order Corrections cites this paper.

Black Hole Solutions in Dark Photon Models with Higher Order Corrections The geometry of photon surfaces

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-05-22T17:11:49.980852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7c1be6ba-d9b6-4a14-b9cf-35fa09756249 · inbound

Probing Weak-Force Corrections to Black Hole Geometry via Long Range Potentials: Feinberg-Sucher and Ferrer-Nowakowski Potentials cites this paper.

Probing Weak-Force Corrections to Black Hole Geometry via Long Range Potentials: Feinberg-Sucher and Ferrer-Nowakowski Potentials The geometry of photon surfaces

Reference 101

Resolution: unresolved; no resolver link, observed 2026-08-15T22:51:47.321417Z

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Observation 3c6867fb-bc80-4a1e-87ea-2398f64e068a · inbound

Gravitational shadow and emission spectrum of thin accretion disks in a plasma medium cites this paper.

Gravitational shadow and emission spectrum of thin accretion disks in a plasma medium The geometry of photon surfaces

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-15T22:17:14.406721Z

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Observation e06e8699-2511-4de9-8eed-0688f35254b1 · inbound

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres cites this paper.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres The geometry of photon surfaces

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.357836Z

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Observation 84799745-e41c-4000-b865-100fa8f36402 · inbound

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes cites this paper.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes The geometry of photon surfaces

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:02.828629Z

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Observation afddddd3-28b7-4ceb-8fa9-d3a5489b6834 · inbound

Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes cites this paper.

Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes The geometry of photon surfaces

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T16:51:11.204420Z

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Unavailable: canonical work link unavailable.

Observation 98879cb4-4834-4449-a560-980401ddf052 · inbound

Topological charge and black hole photon spheres in massive gravity cites this paper.

Topological charge and black hole photon spheres in massive gravity The geometry of photon surfaces

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-05-18T18:52:48.362874Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation be6aa8b1-75c3-460d-b6c5-5fd956bde120 · inbound

Supertranslations in the bulk of spacetime cites this paper.

Supertranslations in the bulk of spacetime The geometry of photon surfaces

Reference 99

Resolution: unresolved; no resolver link, observed 2026-08-03T14:35:41.747124Z

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Observation 84e5c422-911d-49cf-bb0f-32383e431fe9 · inbound

Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model cites this paper.

Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model The geometry of photon surfaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-15T12:04:34.107907Z

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Observation 20fb8cb4-6b2f-4b0a-9c25-cb5647c18fde · inbound

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes cites this paper.

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes The geometry of photon surfaces

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:37:04.731179Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 20207b40-6b39-402d-b93a-0a94666f0a06 · inbound

Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics cites this paper.

Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics The geometry of photon surfaces

Reference 56

Resolution: verified exact; arxiv_id, observed 2026-05-11T20:01:09.170961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5cec1be2-9d8e-41c6-9d5e-e589e63082de · inbound

Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics cites this paper.

Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics The geometry of photon surfaces

Reference 56

Resolution: verified exact; arxiv_id, observed 2026-05-11T04:41:01.127349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 13bc4991-eecd-4f30-a54c-7568b47884a5 · inbound

Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics cites this paper.

Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics The geometry of photon surfaces

Reference 56

Resolution: unresolved; no resolver link, observed 2026-07-12T18:30:37.013457Z

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Unavailable: canonical work link unavailable.

Observation ddac788f-7716-46a2-8f37-ed5835768a22 · inbound

A Complete Invariant Analysis of the Kerr Spacetime and its Photon Region cites this paper.

A Complete Invariant Analysis of the Kerr Spacetime and its Photon Region The geometry of photon surfaces

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:01:10.099651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 40c86d76-7afa-42f6-9847-08c2e9d31170 · inbound

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing cites this paper.

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing The geometry of photon surfaces

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T22:51:23.283411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f655c1c-2c06-4ff3-a07a-9545581a83f8 · inbound

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing cites this paper.

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing The geometry of photon surfaces

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T15:40:41.999975Z

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Unavailable: canonical work link unavailable.

Observation 10faf456-a72c-4f4a-8f80-7830d8dde0fc · inbound

Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology cites this paper.

Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology The geometry of photon surfaces

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-11T16:31:06.898662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e5e45f4b-2727-4b6c-9704-bc06f1182440 · inbound

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity The geometry of photon surfaces

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-13T01:57:04.944042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ce5c410c-d1ea-4a6c-8d91-0bc9b32ed75a · inbound

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity The geometry of photon surfaces

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-20T23:09:12.482992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f1d7b2a6-b561-41d3-b7bd-9ca13390a53e · inbound

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.

Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity The geometry of photon surfaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-06-30T23:05:07.474293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0a7fffef-a1ce-49f1-ba2a-943a81f87f13 · inbound

Regular black hole solutions and the quark chemical potential at the QCD phase transition cites this paper.

Regular black hole solutions and the quark chemical potential at the QCD phase transition The geometry of photon surfaces

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-06-29T16:13:36.551069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0bd3fd97-18a9-4986-b612-33256f004d9d · inbound

Probing Effective Field Theory Corrections with Quasinormal Modes and Gravitational Lensing in Reissner-Nordstr\"om Black Holes cites this paper.

Probing Effective Field Theory Corrections with Quasinormal Modes and Gravitational Lensing in Reissner-Nordstr\"om Black Holes The geometry of photon surfaces

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-06-29T11:23:20.798346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8892d2e8-dde0-42a8-bfa3-de6b125eb319 · inbound

A perturbative geometric approach for photon spheres, massive particle surfaces and black hole shadows with mass variations cites this paper.

A perturbative geometric approach for photon spheres, massive particle surfaces and black hole shadows with mass variations The geometry of photon surfaces

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-06-28T18:52:29.885682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4d6e30c5-dbb4-42b7-97e7-86131bb18532 · inbound

Polarization-Dependent Photon Propagation, Quasinormal Modes, and Gravitational Lensing in Higher-Curvature Effective Theories cites this paper.

Polarization-Dependent Photon Propagation, Quasinormal Modes, and Gravitational Lensing in Higher-Curvature Effective Theories The geometry of photon surfaces

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-04T04:19:34.867634Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b23c930-68bc-4ab1-a1af-8442d7c20803 · inbound

Photon surfaces extension in general spherical dust collapse cites this paper.

Photon surfaces extension in general spherical dust collapse The geometry of photon surfaces

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-26T17:09:36.153491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a1d08799-f596-4896-8b36-0c41ee45e64c · inbound

Revisit Static Aether: Exact Vacuum Solution in Einstein-Aether Theory and Its Analytic Extension cites this paper.

Revisit Static Aether: Exact Vacuum Solution in Einstein-Aether Theory and Its Analytic Extension The geometry of photon surfaces

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-07-01T17:35:51.411386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 28d9ed30-3af4-44cb-a387-8a45769e4e30 · inbound

Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation cites this paper.

Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation The geometry of photon surfaces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T19:55:50.251506Z

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Unavailable: canonical work link unavailable.

Observation 4bfd16e6-1b1f-41c0-a84b-78b860d7b312 · inbound

Shadow of the generalized Vaidya black hole cites this paper.

Shadow of the generalized Vaidya black hole The geometry of photon surfaces

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T17:57:53.784782Z

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Unavailable: canonical work link unavailable.

Observation 0ba3d145-8c9d-4bda-9b7f-ebeab7217246 · inbound

Gravitational wave echoes as probes of the maximum mass of strange stars in quadratic curvature-matter coupled gravity cites this paper.

Gravitational wave echoes as probes of the maximum mass of strange stars in quadratic curvature-matter coupled gravity The geometry of photon surfaces

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T12:55:53.126203Z

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Observation 9ee6bb04-92e6-4d48-a101-88c5436d3b5f · inbound

Quantum-Corrected Thermodynamics, Dirac Perturbations, Geodesic Structure, and Topological Phases of Black Holes with Non-Minimal Logarithmic Coupling cites this paper.

Quantum-Corrected Thermodynamics, Dirac Perturbations, Geodesic Structure, and Topological Phases of Black Holes with Non-Minimal Logarithmic Coupling The geometry of photon surfaces

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-01T06:51:10.427587Z

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Unavailable: canonical work link unavailable.

Observation 28bef2dd-7023-44f9-9775-2d7c6d535430 · inbound

Spin precession in the strong deflection limit cites this paper.

Spin precession in the strong deflection limit The geometry of photon surfaces

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T02:10:39.599444Z

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Unavailable: canonical work link unavailable.

Observation f5f4d2d1-b115-40b9-bf08-7d061b525a11 · inbound

EFT Corrections to Photon Propagation and Gravitational Lensing in an Ellis-Bronnikov Wormhole cites this paper.

EFT Corrections to Photon Propagation and Gravitational Lensing in an Ellis-Bronnikov Wormhole The geometry of photon surfaces

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-14T04:48:00.766023Z

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Unavailable: canonical work link unavailable.

Observation e2558c1a-27ce-4cb2-946c-d0ed3f4f5de0 · inbound

Phase-plane formulation of weak gravitational deflection in static spherical spacetimes cites this paper.

Phase-plane formulation of weak gravitational deflection in static spherical spacetimes The geometry of photon surfaces

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T00:33:41.247846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.