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Paper Citation Record · LEDGER

Photon Spheres and shadow of modified black-hole entropies

As of 5 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 0 inbound Pith citation observations for arXiv:2605.01303.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.01303 v3

Coverage vector

measured 85 of 85 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-14T21:38:19.473597Z

measured 85 of 85 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

85 of 85 outbound references displayed

  • verified exact65
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation caca7e39-7d19-493f-94fa-3185d5808237 · outbound

This paper cites Motivated by these developments, recent studies on the optical properties of various deformed black holes have attracted our attention [53–59].

Photon Spheres and shadow of modified black-hole entropies Motivated by these developments, recent studies on the optical properties of various deformed black holes have attracted our attention [53–59]

Reference 1

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Observation 79a3dc66-2b20-47cd-9283-efd7a1a0d415 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 2

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Observation ab3a1217-1265-473b-a871-6f52387250db · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 3

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Observation 6f697348-a143-436a-8cc1-c1092668c6a7 · outbound

This paper cites 2 and 0 ≤ ∆ ≤ 0.

Photon Spheres and shadow of modified black-hole entropies 2 and 0 ≤ ∆ ≤ 0

Reference 4

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Observation 05286275-f00b-4456-939a-0f32fb66ef82 · outbound

This paper cites (40) Figure 6 presents the rpsy 3M − y(β ) curve and bpsy 3M − y(β ) curve when M = 1 , x (α ) = 0.

Photon Spheres and shadow of modified black-hole entropies (40) Figure 6 presents the rpsy 3M − y(β ) curve and bpsy 3M − y(β ) curve when M = 1 , x (α ) = 0

Reference 5

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Observation 0a961b2a-b818-4efc-a3a6-201c7db9e411 · outbound

This paper cites 7(c)) and 0.

Photon Spheres and shadow of modified black-hole entropies 7(c)) and 0

Reference 6

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Observation 567adc08-73ee-491b-a5ff-b0cb63b00aee · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 7

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Observation f29197d1-9cda-4e5b-be53-caa04591593e · outbound

This paper cites Atamurotov, A.

Photon Spheres and shadow of modified black-hole entropies Atamurotov, A

Reference 8

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Observation 0dadc7c6-b92b-49bb-a2dd-21faa8ec2ac6 · outbound

This paper cites Biesiada, Strong lensing systems as a probe of dark ene rgy in the universe, Phys.

Photon Spheres and shadow of modified black-hole entropies Biesiada, Strong lensing systems as a probe of dark ene rgy in the universe, Phys

Reference 9

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Observation 326d89b4-771a-4a55-aeb9-96dc07046dd4 · outbound

This paper cites Cosmology with Strong Lensing Systems.

Photon Spheres and shadow of modified black-hole entropies Cosmology with Strong Lensing Systems

Reference 10

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Observation 7858a3c1-274c-4340-a5bd-c81dc74dbe4c · outbound

This paper cites The Distance Duality Relation from Strong Gravitational Lensing.

Photon Spheres and shadow of modified black-hole entropies The Distance Duality Relation from Strong Gravitational Lensing

Reference 11

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local_arxiv, observed 2026-05-14T21:39:29.012094Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d2ced9ef-02da-4ff6-87d3-cb3230e76790 · outbound

This paper cites Retrolensing by two photon spheres of a black-bounce spacetime.

Photon Spheres and shadow of modified black-hole entropies Retrolensing by two photon spheres of a black-bounce spacetime

Reference 12

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arxiv_id, observed 2026-05-14T21:39:28.932584Z

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Observation 2ae6109d-5001-416a-9951-3344789d7854 · outbound

This paper cites First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole.

Photon Spheres and shadow of modified black-hole entropies First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole

Reference 15

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Observation ee0fce3d-2cd0-4464-9a13-c01e71e15f9a · outbound

This paper cites Boos and H.

Photon Spheres and shadow of modified black-hole entropies Boos and H

Reference 16

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arxiv_id, observed 2026-05-14T21:39:28.926942Z

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Observation f9304bca-4660-4580-8af1-cca2c1aa2d08 · outbound

This paper cites Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality.

Photon Spheres and shadow of modified black-hole entropies Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality

Reference 17

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arxiv_id, observed 2026-05-14T21:39:28.783342Z

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Observation 947ac07f-0261-4af0-864d-6789c5a05375 · outbound

This paper cites Atemporality from Conservation Laws of Physics in Lorentzian-Euclidean Black Hole.

Photon Spheres and shadow of modified black-hole entropies Atemporality from Conservation Laws of Physics in Lorentzian-Euclidean Black Hole

Reference 18

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arxiv_id, observed 2026-05-14T21:39:28.905447Z

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Observation b69c9217-3bd5-4eb7-8bdc-d1318e6da554 · outbound

This paper cites Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes.

Photon Spheres and shadow of modified black-hole entropies Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

Reference 19

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arxiv_id, observed 2026-05-14T21:39:28.996725Z

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Observation 8df3b04f-f442-414b-b94f-c44ccc0de31e · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 22

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arxiv_id, observed 2026-05-14T21:39:28.906405Z

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Observation b0ff49c3-8259-4ddc-9c11-28777016f416 · outbound

This paper cites Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes.

Photon Spheres and shadow of modified black-hole entropies Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes

Reference 23

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local_arxiv, observed 2026-05-14T21:39:28.981850Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 7377c59a-7977-440e-9c6e-57afd0db42e9 · outbound

This paper cites The Existence and Distribution of Photon Spheres Near Spherically Symmetric Black Holes -- A Geometric Analysis.

Photon Spheres and shadow of modified black-hole entropies The Existence and Distribution of Photon Spheres Near Spherically Symmetric Black Holes -- A Geometric Analysis

Reference 24

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Observation 01b5de77-18bd-494e-b00e-ecd33ca8c949 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 85d13115-5839-4850-b09c-e7d3bfd54b3b · outbound

This paper cites Hotspot Images from Magnetic Reconnection Processes in the plunging Region of a Kerr Black Hole.

Photon Spheres and shadow of modified black-hole entropies Hotspot Images from Magnetic Reconnection Processes in the plunging Region of a Kerr Black Hole

Reference 26

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arxiv_id, observed 2026-06-09T02:05:24.538485Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 666f84d9-dffb-4d1b-a647-3e01caec8417 · outbound

This paper cites Probing Non-rotating Black Hole in Kalb-Ramond Gravity: Imaging and Polarized Signatures Surrounded by Different Thick Accretion Flows.

Photon Spheres and shadow of modified black-hole entropies Probing Non-rotating Black Hole in Kalb-Ramond Gravity: Imaging and Polarized Signatures Surrounded by Different Thick Accretion Flows

Reference 27

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Observation a0d24b2e-937d-4836-81b1-ceae44c8bf75 · outbound

This paper cites Optical Characteristics of the Kerr-Bertotti-Robinson Black Hole.

Photon Spheres and shadow of modified black-hole entropies Optical Characteristics of the Kerr-Bertotti-Robinson Black Hole

Reference 28

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arxiv_id, observed 2026-05-14T21:39:28.914869Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 4d413bb3-d06e-4cbe-ad09-98fe14a8989d · outbound

This paper cites Holographic images of a charged black hole in Lorentz symmetry breaking massive gravity.

Photon Spheres and shadow of modified black-hole entropies Holographic images of a charged black hole in Lorentz symmetry breaking massive gravity

Reference 29

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arxiv_id, observed 2026-05-14T21:39:28.910955Z

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Observation 4bf03372-4a2a-4408-a684-07171a9bbd7a · outbound

This paper cites Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach.

Photon Spheres and shadow of modified black-hole entropies Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 30

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arxiv_id, observed 2026-05-14T21:39:28.950520Z

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Observation bc2877a1-8150-4ce9-9f17-ef82fe5bbdf2 · outbound

This paper cites Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole.

Photon Spheres and shadow of modified black-hole entropies Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole

Reference 31

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arxiv_id, observed 2026-05-14T21:39:28.932914Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation fc96f733-ca67-4314-8882-1b46afa066d8 · outbound

This paper cites Gravitational equal-area law and critical phenomena of cuspy black hole shadow.

Photon Spheres and shadow of modified black-hole entropies Gravitational equal-area law and critical phenomena of cuspy black hole shadow

Reference 32

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arxiv_id, observed 2026-05-14T21:39:28.959857Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation ad3ec8ab-203c-4b9c-ad1d-ae27d71db24a · outbound

This paper cites Shadows of quintessence black holes: spherical accretion, photon trajectories, and geodesic observers.

Photon Spheres and shadow of modified black-hole entropies Shadows of quintessence black holes: spherical accretion, photon trajectories, and geodesic observers

Reference 33

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local_arxiv, observed 2026-05-14T21:39:28.770056Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 10f66195-847d-407b-aa51-caa302c8b2ff · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 34

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arxiv_id, observed 2026-05-14T21:39:28.926238Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 4ed802f6-5292-46e5-95cc-20daaf701a1d · outbound

This paper cites Hod, Lower bound on the radii of black-hole shadows, Phys.

Photon Spheres and shadow of modified black-hole entropies Hod, Lower bound on the radii of black-hole shadows, Phys

Reference 36

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arxiv_id, observed 2026-05-14T21:39:28.843173Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation b0648ade-e983-4ad3-ae9d-0e7d34f71881 · outbound

This paper cites Aschenbach effect and circular orbits in static and spherically symmetric black hole backgrounds.

Photon Spheres and shadow of modified black-hole entropies Aschenbach effect and circular orbits in static and spherically symmetric black hole backgrounds

Reference 37

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arxiv_id, observed 2026-05-14T21:39:28.921113Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 1dc26fed-ff3b-4524-a8ca-9856b1304e93 · outbound

This paper cites Black hole images: A Review.

Photon Spheres and shadow of modified black-hole entropies Black hole images: A Review

Reference 38

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arxiv_id, observed 2026-05-14T21:39:28.901266Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation f22f9eb3-6379-49d6-8fc0-14c1bd6a62af · outbound

This paper cites Berens, P.

Photon Spheres and shadow of modified black-hole entropies Berens, P

Reference 39

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arxiv_id, observed 2026-05-14T21:39:28.821006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:f2541329bec9bf2dcf2b620aee8da7597c17aff033491d64faf2dd292cdb9e8f

Observation f6ae2df2-24c3-4458-9b66-47c210dc2aea · outbound

This paper cites Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image.

Photon Spheres and shadow of modified black-hole entropies Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.915751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:613d29bd24164b338c41cc643dfaf216ad3f4eaf984119b4f383b8dba50de5bc

Observation a3ef34c6-f99c-4550-8c89-209ddccc033a · outbound

This paper cites Event Horizon Telescope observations exclude compact objects in baseline mimetic gravity.

Photon Spheres and shadow of modified black-hole entropies Event Horizon Telescope observations exclude compact objects in baseline mimetic gravity

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.732101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:bd6ad52e3bf25134554b74cab91faad26a038dc71b9dd1abcc8e8ed49a8043ba

Observation 2cf31474-3cf1-4a26-a632-f603cb3af9c8 · outbound

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

Photon Spheres and shadow of modified black-hole entropies Topological charge and black hole photon spheres in massive gravity

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:39:28.850455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:b44d1a6aa40eae95ea7966e39eec686b39c9780fae467c786618818812c77c62

Observation 80ad5779-5f56-40dc-b48b-4ced4f985700 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.886436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:3ff48027f83198567e24d6d19fad6ef534d934aaee5578227fb14d158acc957d

Observation db767340-d1b1-4e50-9258-56dcec9a7823 · outbound

This paper cites A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows.

Photon Spheres and shadow of modified black-hole entropies A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-26T02:03:04.934502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:9fb5505896c1b2a294b58107012d13d0043359bf8ffad6a7a7475cfda5c23ce3

Observation 67faa043-3f4c-474a-89f3-1c7fd0754cf2 · outbound

This paper cites Errehymy, Null geodesics and shadows of Dekel-Zhao- type dark matter black holes with a quintessential field: Constraints from EHT observations of M87* and Sgr A*, Phys.

Photon Spheres and shadow of modified black-hole entropies Errehymy, Null geodesics and shadows of Dekel-Zhao- type dark matter black holes with a quintessential field: Constraints from EHT observations of M87* and Sgr A*, Phys

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T21:39:29.532807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:afa75402b5d84efa5bc00fe1412ea3f3ee1297a77182ddac11d5b3e495ff458e

Observation 9d9f51d1-c6d7-4dc5-af3a-21d3f1128ffc · outbound

This paper cites The shadow and accretion disk images of the rotation loop quantum black bounce.

Photon Spheres and shadow of modified black-hole entropies The shadow and accretion disk images of the rotation loop quantum black bounce

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.779913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:e70c2f4a0d09a98693fef94dff001a7dddfac62c20bbe61ca68d6a945da4bd97

Observation 8ba485f6-65bf-4952-a3b6-5ca715894a16 · outbound

This paper cites Shadow of higher dimensional collapsing dark star and blackhole.

Photon Spheres and shadow of modified black-hole entropies Shadow of higher dimensional collapsing dark star and blackhole

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.881371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:9965d69daaa413574fef054b7d35400df69047fa0523a1ffd3183fd084a59fbb

Observation 403efe90-5c80-47d4-ad9f-8c98b5b5d378 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.546723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:ce7ba78ab4f2a3cb2ab1625101aafd2bbea97bd98368133534845cd8fe5db739

Observation debf581e-9c71-4181-9522-b01270ad2dec · outbound

This paper cites Lekbich, N.

Photon Spheres and shadow of modified black-hole entropies Lekbich, N

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T21:39:29.529742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:077fdd1bf89eb182a2f436c654d5e3d8070f296b5221a6b65faafa059bba5bf5

Observation 217682ff-ae8e-4c9e-8355-d72f334e954a · outbound

This paper cites A class of $d$-dimensional regular black holes: Shadows, Thermodynamics and Gravitational collapse.

Photon Spheres and shadow of modified black-hole entropies A class of $d$-dimensional regular black holes: Shadows, Thermodynamics and Gravitational collapse

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-28T02:04:14.512207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:75e475fb066c0985e06bbb16e2c535d32d14b508d1e7a1a11a21eac0f46ed5c6

Observation 931e3c4b-c1e1-4136-a04e-ff6c17904c07 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.882256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:96fcec4ae0ffe7d3d2117be3fa6fb6b7683b9eda6b020ce6f79fb98bb709e7ed

Observation 814067d9-2ac5-4fbb-904c-6f187f24bfaa · outbound

This paper cites Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes.

Photon Spheres and shadow of modified black-hole entropies Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes

Reference 52

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.954152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:c26d248a01eaad50f82d949ba21e7bf33122d6ba870cec61d01ae58a634d9377

Observation ecac257e-5ef1-47e4-8062-cdf193828568 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.524740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:954f1e19d129f47ff4e58d953c86756ca2dfb25bdb2afb5b65f10bae1a8098b8

Observation 3942f47b-d15b-47c2-a8a5-219d002b2c43 · outbound

This paper cites Sharipov, J.

Photon Spheres and shadow of modified black-hole entropies Sharipov, J

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.977096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:42f0c3d13d6907a78819e828a3cd2fcf3c0b97885867e971e8c2621679d4c334

Observation 29f7a592-ec73-4f4a-bea0-525bf34514d2 · outbound

This paper cites Ahmed, A.

Photon Spheres and shadow of modified black-hole entropies Ahmed, A

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.965549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:df8bba44b9e2e833aec6823dc76802a98318cbcc5bb5ec193c416bcc0c7da7dc

Observation 8bf86c8e-c88e-42da-a824-73b7f9b80c7b · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.837142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:ceab6774efc817e9933d12cff8a23184e1efe44474e71e293953d9ebe805b3f1

Observation 23102d3d-e2ae-40af-b8cd-9e872732428f · outbound

This paper cites Zafar, A.

Photon Spheres and shadow of modified black-hole entropies Zafar, A

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:29.004838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:26cbc1ba2b874f945d9d7a56c22c06da4ae57faa8e8829099a096d21fc243ac7

Observation 80238e53-de11-4d94-8123-3bbf922494b3 · outbound

This paper cites Gravitational lensing and observational features of a dynamic black hole.

Photon Spheres and shadow of modified black-hole entropies Gravitational lensing and observational features of a dynamic black hole

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:39:28.877833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:c3324d4a6d5ad1bd4803fe811aa3677dedd43534b09dcb37d4a8bdbf151b3cb2

Observation 95171d8f-339a-43f9-88b0-c803a6727ae4 · outbound

This paper cites The shadows and photon rings of two minimal deformations of Schwarzschild black holes.

Photon Spheres and shadow of modified black-hole entropies The shadows and photon rings of two minimal deformations of Schwarzschild black holes

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:39:28.896649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:f3dd7261753b155a1bcfc0ae8ab42141437b7f9181a2bc3ce405ac3df16692a1

Observation 1e3824ff-42c8-4006-b064-3eaeac03e64e · outbound

This paper cites Fauzi, H.S.

Photon Spheres and shadow of modified black-hole entropies Fauzi, H.S

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.891950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:6f87f23ed57ac108d48f5205ac63fa715d3629eb01d7399f694294da36f1376c

Observation a1b97d97-1266-4203-971d-b42d7e493286 · outbound

This paper cites Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties.

Photon Spheres and shadow of modified black-hole entropies Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-06-10T02:11:45.115434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:1658b35865780020a4bfa72d53c658337127d03b2da957e0d5e9417815e08e40

Observation 9b191eb2-5e16-41e0-a338-9cb0032493c4 · outbound

This paper cites Ahmed, S.

Photon Spheres and shadow of modified black-hole entropies Ahmed, S

Reference 62

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.897295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:6fe980e7c02bd6156953a28ca5c4c7c4663c6cfe5f0c457a345952db34961570

Observation f6701a24-ccfc-4126-a732-ed372aa6c307 · outbound

This paper cites Light propagation and gravitational lensing effects in charged Kalb-Ramond spacetime in nonlinear electrodynamics.

Photon Spheres and shadow of modified black-hole entropies Light propagation and gravitational lensing effects in charged Kalb-Ramond spacetime in nonlinear electrodynamics

Reference 63

Resolution
verified exact
arxiv_id, observed 2026-06-30T03:17:28.040249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:f51aa1c4e1a90b6ba0cdd6e03c526246d7e5f710f22ac63af87b8335ad1d766e

Observation f5978add-2604-4beb-8855-e55a72122cde · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.909765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:6d3ed72b25b7c3cf6dae33c0d1dda1e760a40ba2636515aa61dac2630ee209af

Observation b52b6471-9e06-4822-a50a-19121f2989ce · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.768447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:93c6acb7b835e7fb258cb15888148f4f0839c25cc70eb3b0eb90324c5ac2f8b4

Observation 7f2a8099-1952-4816-a8d3-5717798f0820 · outbound

This paper cites Area-law versus R\'enyi and Tsallis black hole entropies.

Photon Spheres and shadow of modified black-hole entropies Area-law versus R\'enyi and Tsallis black hole entropies

Reference 66

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.728131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:4360cf294d5ae569626229758287cd58347a64729eda1640d17ea2ca97cb46fb

Observation 681f09ec-68f2-4d11-96f7-1bd88765ecdd · outbound

This paper cites Alternative entropies and consistent black hole thermodynamics.

Photon Spheres and shadow of modified black-hole entropies Alternative entropies and consistent black hole thermodynamics

Reference 67

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.815973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:a5ab1337290f456945db454f5478e50e019caede9b8fb4679fba3e2d5dfa1c98

Observation 8ce8d32d-bf1f-42bb-bbe8-be2083a06700 · outbound

This paper cites Black Holes Thermodynamics and Generalised Non-Extensive Entropy.

Photon Spheres and shadow of modified black-hole entropies Black Holes Thermodynamics and Generalised Non-Extensive Entropy

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.870504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:445a242f366950b8188632225be4ac42f55b86fc64e1edd73d4ee9b616f6808c

Observation ac7248da-23cf-4069-b63c-9589486db177 · outbound

This paper cites Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling.

Photon Spheres and shadow of modified black-hole entropies Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling

Reference 69

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.970920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:324e53e3d6ed150c0fe3f3e7559a37dd40f6a892375ff89097f9934c7c7b2a9c

Observation a29c2f74-a1bf-42ef-a576-739a5487de52 · outbound

This paper cites Effective matter sectors from modified entropies.

Photon Spheres and shadow of modified black-hole entropies Effective matter sectors from modified entropies

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-05-29T03:04:35.577586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:5685e59e80ac31d66f5b8af1d75fc5b71ca8efdb36d9ce1306f72c1fd5515a59

Observation befc77a7-b7b2-42a9-960d-1a4f04a52e79 · outbound

This paper cites Anand, K.

Photon Spheres and shadow of modified black-hole entropies Anand, K

Reference 71

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.956902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:ab34dce571e981c28b32f4161529e3cfc44b2487313fdb559c31fc93a450af53

Observation 725f6de8-dc61-4ddc-8712-2440d0c736d1 · outbound

This paper cites Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications.

Photon Spheres and shadow of modified black-hole entropies Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications

Reference 72

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.826038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:6a0db4d15f94c1be7679d8f844480b09ec9bc22a046cfab255df84e4ea2ed01b

Observation 2aacbf36-3a37-4fb7-8ea1-7b6ced6812ca · outbound

This paper cites Anand, S.

Photon Spheres and shadow of modified black-hole entropies Anand, S

Reference 73

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.863748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:7127cd4a409bfff822a192d93ed631769125073fb9c3d5454fb0366a7a450f3d

Observation ed6bc808-9d63-479e-af73-63dd60b99939 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.919747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:3572dd053a3754558b0a6e7ef5433ffde917cbccd98f823e81e15809250c30d3

Observation 16729bdc-aea3-4d8d-aa70-de2c6fd46294 · outbound

This paper cites The Area of a Rough Black Hole.

Photon Spheres and shadow of modified black-hole entropies The Area of a Rough Black Hole

Reference 75

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:29.009114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:84af0843e0aa5edf0b3c3833bb301427f5ffd775b9bd71f070ba81a7cd5f61ed

Observation d91b1064-4557-4d32-a1e8-39c9b8657a9e · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.553592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:f402f44733bf93dd93b99444af11b8dcff0086ee41d3b9669a452b03ba69ad11

Observation bb0d1cb2-9c5f-4e8a-a5e9-c21149a2bd88 · outbound

This paper cites Promsiri, E.

Photon Spheres and shadow of modified black-hole entropies Promsiri, E

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T21:39:29.550364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:cad89253e47f9c065ad6d2f2aaf1d9f2224dc13926aea64c413a57f99915b031

Observation 938b771a-aef5-49c5-97c6-4467cabaf8e9 · outbound

This paper cites Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry.

Photon Spheres and shadow of modified black-hole entropies Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry

Reference 78

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:39:28.830797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:c6b2fdefb866641e63f5e2b94b93973af1cd6538a1755b23dc51abac0719fd5e

Observation 15065c24-5cf5-494c-b248-c503476a3d03 · outbound

This paper cites Generalized entropy formalism and a new holographic dark energy model.

Photon Spheres and shadow of modified black-hole entropies Generalized entropy formalism and a new holographic dark energy model

Reference 79

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:39:28.775557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:28d6e1073d55611391e8891fd2f8b28654a7fc51e545f20b6bdae5a1df5078df

Observation 20dca2e6-bede-45ca-931c-0ee5a94e6797 · outbound

This paper cites Errehymy, Y.

Photon Spheres and shadow of modified black-hole entropies Errehymy, Y

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.938799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:0cb6ac873a078ec1e2c3e59e2db4d9a3c79c12392248a4ed2e9e00abe2bae31f

Observation 0934c9e2-dd6c-4e89-94a9-4358d1203971 · outbound

This paper cites Geometric Approach to Circular Photon Orbits and Black Hole Shadows.

Photon Spheres and shadow of modified black-hole entropies Geometric Approach to Circular Photon Orbits and Black Hole Shadows

Reference 81

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.949068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:e73559ed44dff21058a3e43ae3ee0945d88dc7ec9dedb3b6fd3f1a3d6cfcd09b

Observation 47a512f4-9ae3-4a6c-9d8c-048d75ee905b · outbound

This paper cites Curvatures, Photon Spheres and Black Hole Shadows.

Photon Spheres and shadow of modified black-hole entropies Curvatures, Photon Spheres and Black Hole Shadows

Reference 83

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.801148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:f03c91c7d230dc7e286d8bddff8246c65fa4baa2b5ec7afa684f74cb44ebeea4

Observation b65882c4-9ad8-45ff-af66-e020a26dd2a9 · outbound

This paper cites Imprints of quantum vacuum fluctuations on the gravitational field of a spherical mass.

Photon Spheres and shadow of modified black-hole entropies Imprints of quantum vacuum fluctuations on the gravitational field of a spherical mass

Reference 84

Resolution
verified exact
arxiv_id, observed 2026-06-09T03:07:03.975668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:8e6fb93cd582b5268d162875a1a4c2fd5f7917b703c83fc19b9acf4b3f2ab723

Observation a3322b5e-c479-43f0-afe6-e14929c67387 · outbound

This paper cites Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$.

Photon Spheres and shadow of modified black-hole entropies Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Reference 85

Resolution
verified exact
arxiv_id, observed 2026-05-16T11:20:25.066737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:b23f91d20c49df1566de9993fb4b73d38e00d2d2e501675717239b5c7e3aaec6

Observation bc593ad7-49e1-42b3-9184-dbcedaa63b82 · outbound

This paper cites Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$^*$ and Sgr. A$^*$ results.

Photon Spheres and shadow of modified black-hole entropies Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$^*$ and Sgr. A$^*$ results

Reference 86

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:29.000455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:dcf96398ebbeb491d2a52478fd21d844190cd83b0dfa5223f301a461c2f9056b

Observation 2d97e1f9-77d8-4f43-8087-f7b98c0c365c · outbound

This paper cites Kerr-like Black Hole Surrounded by Cold Dark Matter Halo: The Shadow Images and EHT Constraints.

Photon Spheres and shadow of modified black-hole entropies Kerr-like Black Hole Surrounded by Cold Dark Matter Halo: The Shadow Images and EHT Constraints

Reference 87

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.807088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:4dd768beb6babc80713940294ae0406aee18fd69fdbb4c189b6c1802cba7ffab

Observation f1aeb6cd-3305-4c5d-ac3e-9aa5c99320a7 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.540070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:039a1946b95c2aff49f44e6f40068ad603e71f06a049095aeb4274e15b74de60

Observation 3ad1c15b-97f9-4475-8f02-77e30cfd5ace · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 89

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.546396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:943ba48b781b316cce5ee1af499b40e6371238de6ee5810c93eff81ff46e29f2

Observation 1b51bfff-3548-4ceb-9871-c110bd410d03 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 90

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.549561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:48ed387708310b317d95e50dcd803448a5d9db46c9e600ca7c445d27d177046f

Observation 7bd8597e-5804-4343-88ac-20bd0c5c6885 · outbound

This paper cites an unresolved cited work.

Photon Spheres and shadow of modified black-hole entropies Unresolved cited work

Reference 91

Resolution
unresolved
raw_fallback, observed 2026-05-14T21:39:29.557280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:4323e9dbe8393bfaa5d41c90e7ac6772505e71fcf72ca2a34b72279ff9dd78cb

Pith citing papers

No inbound Pith citation observations are available.