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Paper Citation Record · LEDGER

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes

As of 8 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2507.16512.

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

pith.paper-citation-record.v1
2507.16512 v2

Coverage vector

measured 75 of 75 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T15:20:03.052371Z

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

75 of 75 outbound references displayed

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  • verified fuzzy30
  • unresolved35
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Outbound references

Observation e67e1a94-c286-434c-b920-9d8742d0ee64 · outbound

This paper cites an unresolved cited work.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Unresolved cited work

Reference 1

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Observation ee33f02b-5d89-48d2-8e57-68214a1453c7 · outbound

This paper cites The Confrontation between General Relativity and Experiment.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes The Confrontation between General Relativity and Experiment

Reference 2

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Observation 9294aa03-8a19-4764-b494-895b62210687 · outbound

This paper cites Falco,Gravitational Lenses, Astronomy and Astrophysics Library (Springer, 1992).

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Falco,Gravitational Lenses, Astronomy and Astrophysics Library (Springer, 1992)

Reference 3

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Observation 73ba8c2a-4cda-4dc5-836e-0e1b26a8f928 · outbound

This paper cites Lectures on Gravitational Lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Lectures on Gravitational Lensing

Reference 4

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source=pdf_text observed=2026-08-06T15:20:02.804609Z digest=sha256:d5100273574106c413b3722a55b2f7b761790a8d8edf703148e0908afc82431d

Observation 918ad63d-44ad-4cc7-8e8c-c74086a30ccc · outbound

This paper cites Schwarzschild black hole lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Schwarzschild black hole lensing

Reference 5

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source=pdf_text observed=2026-08-06T15:20:02.808728Z digest=sha256:df96fc2371c11cca4756964d0f104a7ff5c8799d96e0e85864cd98e6155d2151

Observation 7ecf9310-53a0-4fd4-9e8a-019e020c36cc · outbound

This paper cites Gravitational Lensing by Black Holes.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational Lensing by Black Holes

Reference 6

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Observation 374003d8-e1cb-4a83-bd59-f2b2d3ca0b52 · outbound

This paper cites Relativistic images of Schwarzschild black hole lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Relativistic images of Schwarzschild black hole lensing

Reference 7

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Observation 6bc11dcc-cb31-4b00-bd7e-c576cc857574 · outbound

This paper cites Strong field limit of black hole gravitational lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Strong field limit of black hole gravitational lensing

Reference 8

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source=pdf_text observed=2026-08-06T15:20:02.820774Z digest=sha256:74e4359d7a909bb4d933bf44aeb6d663e101964238a9922e1a0a575c9f3df7c8

Observation 4ed558e8-9ed0-4007-bcb7-c3c687775567 · outbound

This paper cites Gravitational lensing by naked singularities,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational lensing by naked singularities,

Reference 9

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source=pdf_text observed=2026-08-06T15:20:02.825159Z digest=sha256:5179a2f12fc3babf0598b8844b865ed0f35c1517fe1a52f61bf5e0682a84ff0e

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

This paper cites The geometry of photon surfaces.

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

Reference 10

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source=pdf_text observed=2026-08-06T15:20:02.828629Z digest=sha256:9285861948a40757573a805a5ff23dc41b25cfa207608bad046a5ca76fcd80d9

Observation 818ff8ca-897a-4d2f-b98f-e40e00953fbb · outbound

This paper cites Role of the scalar field in gravitational lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Role of the scalar field in gravitational lensing

Reference 11

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source=pdf_text observed=2026-08-06T15:20:02.832124Z digest=sha256:aaf5673beea77f1bb900086545acc03636dd628cc87e9402a2fab238a4966077

Observation 6a26c8b1-dfe5-4033-b6f3-ceac1965e546 · outbound

This paper cites Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities

Reference 12

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source=pdf_text observed=2026-08-06T15:20:02.835459Z digest=sha256:06001c872f11f64c9495793a64cb5938807b2fd07fee71efefc3a8e701cebf48

Observation 49e27d22-8338-4856-b2f1-3b802a094ae3 · outbound

This paper cites Distortions of images of Schwarzschild lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Distortions of images of Schwarzschild lensing

Reference 13

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source=pdf_text observed=2026-08-06T15:20:02.838794Z digest=sha256:9e9de576e42548e851907941cf2bcca989a1702df1d784a381278fa62233072b

Observation b9b1d626-bc6a-4988-aaa6-355bad76ef8d · outbound

This paper cites Conservation of distortion of gravitationally lensed images.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Conservation of distortion of gravitationally lensed images

Reference 14

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Observation f2b78512-ee93-4eaa-af36-b0dddf88c956 · outbound

This paper cites Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method

Reference 15

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source=pdf_text observed=2026-08-06T15:20:02.846286Z digest=sha256:d7630732cce510291f2e6cbcc78e299bc3896e399de80da868e2cfbde420f185

Observation f4ae1eea-c90b-4b7a-b486-db037bc7ba21 · outbound

This paper cites Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case

Reference 16

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source=pdf_text observed=2026-08-06T15:20:02.849505Z digest=sha256:46f7b7ffe4c66b225fcc39d74d65f4ca8ea830a66362a5d20db8d885aceec708

Observation 41b4e6ab-d642-4ff8-8846-f85288b10dba · outbound

This paper cites Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing

Reference 17

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source=pdf_text observed=2026-08-06T15:20:02.852504Z digest=sha256:5dca916a781b72d7525b7865062e0fb073376b6e94f1b2395ce72d41eebc7404

Observation 90913500-bf01-4196-a91c-41a8881851db · outbound

This paper cites Generalized Gibbons-Werner method for stationary spacetimes.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Generalized Gibbons-Werner method for stationary spacetimes

Reference 18

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source=pdf_text observed=2026-08-06T15:20:02.856617Z digest=sha256:622913f158ff922ffdeb2d20504c646b3da527c9c7663534ccdb81de19f94584

Observation 42891039-ee86-4cb5-ad0a-08deff0c35f7 · outbound

This paper cites The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method,

Reference 19

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source=pdf_text observed=2026-08-06T15:20:02.859925Z digest=sha256:3b2012218ad38a0c26f319467c00844b5d1df14b3c82459e786a0c1dde1ddcde

Observation abdad334-f95f-4822-9c97-d11c512c430c · outbound

This paper cites Applications of the Gauss-Bonnet theorem to gravitational lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Applications of the Gauss-Bonnet theorem to gravitational lensing

Reference 20

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source=pdf_text observed=2026-08-06T15:20:02.863104Z digest=sha256:900094944bc4029d25b26809d161c3fd48dc3852922edba85fa5e9971e3f3124

Observation 623addcd-042c-45e8-b103-bc663d6c622a · outbound

This paper cites Universal properties of the near-horizon optical geometry.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Universal properties of the near-horizon optical geometry

Reference 21

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local_arxiv, observed 2026-08-06T15:20:03.650941Z

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source=pdf_text observed=2026-08-06T15:20:02.866399Z digest=sha256:eb33742b859ec7af938d00cb0e3e1517120cb66a894a05853e79c5f2d217017b

Observation 2e1b5d49-7db5-470d-9abe-b622892c6b7a · outbound

This paper cites Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem

Reference 22

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source=pdf_text observed=2026-08-06T15:20:02.870392Z digest=sha256:93673fbf42d7e7d063316f5ffba2e7ad31d36c97d8ee350a4bfec2e5e8f08b13

Observation 2947af0b-2a87-4e2d-b136-380911a1b9c0 · outbound

This paper cites Gravitational lensing in the Kerr-Randers optical geometry.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational lensing in the Kerr-Randers optical geometry

Reference 23

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source=pdf_text observed=2026-08-06T15:20:02.873661Z digest=sha256:63dccebc54f737b89e7a77f1796bd645abbd5abde8923687e7a06fda0750dae4

Observation 34ef0587-0164-46b5-a097-18639107611e · outbound

This paper cites Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model

Reference 24

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source=pdf_text observed=2026-08-06T15:20:02.877400Z digest=sha256:26f4bc0539230e87ef7efdc87e4b00c35839be9c995fec7eed570e25c0237590

Observation c66101d4-9647-481c-ac36-866bf4418524 · outbound

This paper cites Light's Bending Angle in the Equatorial Plane of a Kerr Black Hole.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Light's Bending Angle in the Equatorial Plane of a Kerr Black Hole

Reference 25

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source=pdf_text observed=2026-08-06T15:20:02.880926Z digest=sha256:af81724827b4c5e3c04c359663ebfe40d13ec3cd6e6e5b95f78c249ca9324d54

Observation f47c5bc6-987c-4b56-8e55-bc8a8e890327 · outbound

This paper cites Optical properties of black hole in the presence of plasma: shadow.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Optical properties of black hole in the presence of plasma: shadow

Reference 26

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source=pdf_text observed=2026-08-06T15:20:02.884234Z digest=sha256:84d9758be371e55f464b50eec4b2a8efa57f385c51ce1eee190d2c97ffdedce3

Observation c6d6c7ae-193e-4d45-9eb6-c9fab0247d5f · outbound

This paper cites Shadow of rotating non-Kerr black hole,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Shadow of rotating non-Kerr black hole,

Reference 27

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source=pdf_text observed=2026-08-06T15:20:02.887890Z digest=sha256:7c55f64c1dd95ae736fb6cdab239a4075222cb31284bfc12d194b5b83192e50a

Observation 720d5468-2138-4a6e-ba3b-633fd79a0f8d · outbound

This paper cites Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field

Reference 28

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source=pdf_text observed=2026-08-06T15:20:02.890934Z digest=sha256:4ee4c1d0e00401bbe594845e2667af696bc3ac33bcf22bde75dccb38466298f1

Observation 6d7c5bc1-1cdd-4b48-bb28-c04aaccfc748 · outbound

This paper cites Optical properties of a braneworld black hole: Gravitational lensing and retrolensing,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Optical properties of a braneworld black hole: Gravitational lensing and retrolensing,

Reference 29

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raw_fallback, observed 2026-08-06T15:20:04.216673Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.894380Z digest=sha256:ceb598b73fed6a76ebc9f8e570e28bb7fe586988c6a7aeaffff2657f6bd4b198

Observation 99f12e53-2a33-4161-bc54-6998e56b8222 · outbound

This paper cites Charged black hole in $4D$ Einstein-Gauss-Bonnet gravity: Particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Charged black hole in $4D$ Einstein-Gauss-Bonnet gravity: Particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy

Reference 30

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source=pdf_text observed=2026-08-06T15:20:02.897425Z digest=sha256:50d2059a08f9627f0f320d6d97e0f8be1389d0920677aa06c021966c8022a086

Observation 933eb285-8add-4017-a658-8f552e3587bf · outbound

This paper cites Weak deflection angle and shadow cast by the charged-Kiselev black hole with cloud of strings in plasma*,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Weak deflection angle and shadow cast by the charged-Kiselev black hole with cloud of strings in plasma*,

Reference 31

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raw_fallback, observed 2026-08-06T15:20:04.205448Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.901348Z digest=sha256:d6a321d99ae8164118e1c8e0809ac1941a3f9a632bb1ef8b4409b09bbe16934d

Observation 6e057e67-f588-41fc-a60b-33cfd0db496e · outbound

This paper cites Weak gravitational lensing Schwarzschild-MOG black hole in plasma,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Weak gravitational lensing Schwarzschild-MOG black hole in plasma,

Reference 32

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raw_fallback, observed 2026-08-06T15:20:04.194481Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.904756Z digest=sha256:dbaac813c1d241c42cc7b06c5e8920283e4f9fab60f1323b2482d819bbdf748b

Observation e88d5d10-bdb9-42b0-a54a-2ebaafa96194 · outbound

This paper cites Gravitational weak lensing by black hole in Horndeski gravity in presence of plasma,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational weak lensing by black hole in Horndeski gravity in presence of plasma,

Reference 33

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raw_fallback, observed 2026-08-06T15:20:04.183681Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.908004Z digest=sha256:f24e0ea82322b14864e485eb13927617afb1dae2fe86cab2ebc829518ea13246

Observation 9d047d5a-e15a-4ba9-805a-ed7bd046d451 · outbound

This paper cites Gravitational lensing by black holes surrounded by PFDM in Kalb-Ramond gravity in plasma medium,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational lensing by black holes surrounded by PFDM in Kalb-Ramond gravity in plasma medium,

Reference 34

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.911056Z digest=sha256:9eae8841d0f9b1ac301aae7a55c7600fbd385ab01b0196a947850ea046fc02dc

Observation 0b06f8b2-9338-4615-9979-cfb87f3f900b · outbound

This paper cites Quasiperiodic oscillations around hairy black holes in Horndeski gravity.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Quasiperiodic oscillations around hairy black holes in Horndeski gravity

Reference 35

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source=pdf_text observed=2026-08-06T15:20:02.914580Z digest=sha256:330ccd3536fe4b4b17ae3d05188fcf8557ce545062375c08766be83b122289a3

Observation 4fa001a7-5951-4a05-b93d-675583f8d23a · outbound

This paper cites Regular nonminimal magnetic black hole as a source of quasiperiodic oscillations,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Regular nonminimal magnetic black hole as a source of quasiperiodic oscillations,

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.159618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.918626Z digest=sha256:4d266563fc826f69adc195ecf8d6b3e3a109cafdd49581bff1cbce577be979bc

Observation 43cf1d21-850d-420c-85d4-7e7696db0a16 · outbound

This paper cites Dynamics of Magnetized and Magnetically Charged Particles around Regular Nonminimal Magnetic Black Holes,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Dynamics of Magnetized and Magnetically Charged Particles around Regular Nonminimal Magnetic Black Holes,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.148235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.921645Z digest=sha256:2ebb2c135e3146f158712ee889eac966eeca9bcaeada5aeb29843eaddd5d8b5f

Observation 4b17b6cb-b536-4bd0-885d-6b5ceae24847 · outbound

This paper cites Testing the Metric-Affine Gravity Using Particle Dynamics and Photon Motion.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Testing the Metric-Affine Gravity Using Particle Dynamics and Photon Motion

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:02.925153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:02.925153Z digest=sha256:d0f20c4c6c8835ab9c715214823e9fd1743c27b9474f67082b302b730be37a0b

Observation fb91da28-0b6f-4f46-8b9c-2ec59826773e · outbound

This paper cites Particle dynamics and weak gravitational lensing around nonlinear electrodynamics black hole,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Particle dynamics and weak gravitational lensing around nonlinear electrodynamics black hole,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.135421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.928491Z digest=sha256:e9a5e5ba1d151de449a9dda0798db3aa77f1ddc999844b3799bdc52e6433bb2a

Observation 9c70ade9-a27b-400b-bc0f-41b184b60035 · outbound

This paper cites Particle dynamics, black hole shadow and weak gravitational lensing in the f (Q) theory of gravity,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Particle dynamics, black hole shadow and weak gravitational lensing in the f (Q) theory of gravity,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.124836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.931743Z digest=sha256:58f6457201e31f5bd215ec403b48571c18bed25e4446f20748ddb56c7ac3508b

Observation b77aaf67-ac94-4e31-a4a6-07c9e393183c · outbound

This paper cites Probing black hole in Starobinsky-Bel-Robinson gravity with thermodynamical analysis, effective force and gravitational weak lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Probing black hole in Starobinsky-Bel-Robinson gravity with thermodynamical analysis, effective force and gravitational weak lensing

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:03.524648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.935035Z digest=sha256:4fc32c07d5be800106d81483d9686138ab466e79dfb59a5e0f7133eaa31cb85a

Observation 3b420b9e-ebb0-48fa-810c-d1daa65ab8fc · outbound

This paper cites Quasi-periodic oscillations and particle motion around charged black hole surrounded by a cloud of strings and quintessence field in Rastall gravity,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Quasi-periodic oscillations and particle motion around charged black hole surrounded by a cloud of strings and quintessence field in Rastall gravity,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.113912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.938241Z digest=sha256:980b97bf508eafc3ee753dcaf8430a51fa8fbcb90fb99d3a32eb36952ba5b44e

Observation 92784b14-d73a-49e1-8076-745c2cc21093 · outbound

This paper cites Non-commutative Schwarzschild black hole surrounded by Perfect fluid dark matter: Plasma lensing and thermodynamics analysis,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Non-commutative Schwarzschild black hole surrounded by Perfect fluid dark matter: Plasma lensing and thermodynamics analysis,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.102045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.941983Z digest=sha256:b8862d89b854fcab95eb1020165b50f1cfdf60363b19d5a4df95a9220228ff1a

Observation 2eb0c30b-4785-49a8-92db-466ec3f8177d · outbound

This paper cites Plasma lensing, epicyclic oscillations, particle collision, and thermal fluctuations around a short-hairy black hole,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Plasma lensing, epicyclic oscillations, particle collision, and thermal fluctuations around a short-hairy black hole,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.091453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.945138Z digest=sha256:471f420d51e45dd45b6d900f9144bc519648d17cf4f3368b90b3a36af9688d3a

Observation c5d4e02f-2223-4b58-b6b5-d9ef840c8c19 · outbound

This paper cites Analyzing the gravitational lensing and epicyclic oscillations around a regular charged black hole,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Analyzing the gravitational lensing and epicyclic oscillations around a regular charged black hole,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.080234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.948267Z digest=sha256:b0331fe6c73921071db9da91c63c05d62f852f1f08daf3b2b169804c6ecc1ce6

Observation 0ccc12cf-f28a-4275-bb2e-c1af4fa97028 · outbound

This paper cites Plasma lensing and particle dynamics in the vicinity of a Dyonic black hole solution in the context a perfect fluid,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Plasma lensing and particle dynamics in the vicinity of a Dyonic black hole solution in the context a perfect fluid,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.069292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.951494Z digest=sha256:0443e32a78910ca989dd11e59f34c8528cbeac84f104eb5802f1f07f951e7c33

Observation 5c37cadd-d95e-4c82-ab52-a06df427e500 · outbound

This paper cites Homotopy perturbation technique,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Homotopy perturbation technique,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.058685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.954733Z digest=sha256:9e9dc7f3017afff12cd92c8925066cbdbf0776cc284467d52334df9fb49b1522

Observation e2cd2f59-ed32-4949-a343-62ec928fc009 · outbound

This paper cites A coupling method of a homotopy technique and a perturbation technique for non-linear problems,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes A coupling method of a homotopy technique and a perturbation technique for non-linear problems,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.047829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.958635Z digest=sha256:190bc9e8a5aaa2275186e9f696070122565d7e620842d3015baf78c1850948cc

Observation 33c75eb3-fa0c-4e28-9031-f88dd8762512 · outbound

This paper cites Analytical Computation of the Perihelion Precession in General Relativity via the Homotopy Perturbation Method.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Analytical Computation of the Perihelion Precession in General Relativity via the Homotopy Perturbation Method

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:03.445476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.961814Z digest=sha256:2726d887797c008cd10cb00cd0859db07414f0a003be6b7647f02c07f023c61e

Observation dc7a4b0d-f8d4-4d50-919b-3f46b070cb6f · outbound

This paper cites Variational iteration method for studying perihelion precession and deflection of light in General Relativity,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Variational iteration method for studying perihelion precession and deflection of light in General Relativity,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.036363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.966221Z digest=sha256:afbb462e453615525723e90dee7e86f2d013d5418e18421ca2d66708e690cf20

Observation eef94e49-0325-4681-88e9-28fdae784bcf · outbound

This paper cites Variational iteration method-some recent results and new interpretations,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Variational iteration method-some recent results and new interpretations,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.025219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.969385Z digest=sha256:2b68723db0ae77dba8b32bc987e489b2bd2dc27efdbdfd7a3ccfe442b8f05f50

Observation 9f95275a-9446-4f0d-82ca-8599685d1045 · outbound

This paper cites Misner, K.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Misner, K

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.013827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.972814Z digest=sha256:c392793000a00447966fd096d2c0fe61c7f8b2c806a69b19b2c4384b98b20b5c

Observation f6506d22-fe38-44b2-bf84-647710e95840 · outbound

This paper cites Schutz,A FIRST COURSE IN GENERAL RELATIVITY(Cambridge Univ.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Schutz,A FIRST COURSE IN GENERAL RELATIVITY(Cambridge Univ

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:04.002393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.976419Z digest=sha256:8acef5603927b252a6777d482320ed533baa7221cc15409fb85b871849b36eeb

Observation 19aeba95-b061-4381-8899-54d9ee3ac601 · outbound

This paper cites C-metric with a conformally coupled scalar field in a magnetic universe.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes C-metric with a conformally coupled scalar field in a magnetic universe

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:02.979460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:02.979460Z digest=sha256:abaa369eb08436329c9db88d501cb62e5cc57d252773aa253e106e52f3f94ff6

Observation 112195ea-9b03-4469-b26b-4cff9f6051a7 · outbound

This paper cites Gravitational black hole shadow spectroscopy,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational black hole shadow spectroscopy,

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:02.982980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:02.982980Z digest=sha256:71ab289e7fe88425f63b01cb2a52550ec30a22c79b79bcdceed58a7bff2a1281

Observation ddeef715-f1cd-4a8a-9818-2dd479c4f188 · outbound

This paper cites The variational iteration method for solving linear and nonlinear systems of pdes,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes The variational iteration method for solving linear and nonlinear systems of pdes,

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.983863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.986248Z digest=sha256:dd04dd23bbdaac48888f5a612ec65ec69de0d241285a4d9f4daf7395a29cc075

Observation a8990fc9-017b-46e9-9100-f65a4f9b919a · outbound

This paper cites Weak Gravitational Lensing.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Weak Gravitational Lensing

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:02.989977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:02.989977Z digest=sha256:72a0e057f8a75c627fb8daaecfeb72e9ac7527cf99c814608b022533291b304b

Observation 756a8539-3fcb-406f-9026-8c367dedc49a · outbound

This paper cites The Born approximation in wave optics gravitational lensing revisited.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes The Born approximation in wave optics gravitational lensing revisited

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:02.993481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:02.993481Z digest=sha256:ebf390918822c2196c3c55a37dbf7d5f129b0be8cd5ee0cbd11a3b8d48711fcd

Observation e0a619a4-f535-410e-b231-5ef6d6c8c0bc · outbound

This paper cites Light deflection in Weyl gravity: critical distances for photon paths.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Light deflection in Weyl gravity: critical distances for photon paths

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:03.220201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:02.996827Z digest=sha256:3848d43e76cfea04fef2bd86bb006b96c1558511fd69dac256042b50fadf08ec

Observation 6b6d6fe9-1f90-4573-8cb9-05299faf4ca3 · outbound

This paper cites Gravitational Deflection of Light: A Heuristic Derivation at the Undergraduate Level.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational Deflection of Light: A Heuristic Derivation at the Undergraduate Level

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:03.203263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.000825Z digest=sha256:e0cce3cf44f875fb686c5a02b0b47954ec861e1a0eb115f847f3a314488b8e66

Observation 8cb3fbab-0696-4e53-aa89-83e2597cc1aa · outbound

This paper cites Introducing the black hole,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Introducing the black hole,

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.971335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.004444Z digest=sha256:ddd61b24fbb7f1c54756488bf141ec53828b52f195ea2b4430b8ef1d9cbd5eff

Observation 056f104a-ba7e-4e7c-a5c9-1a3b8bbc8fcb · outbound

This paper cites Asymptotically flat black holes with scalar hair: a review.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Asymptotically flat black holes with scalar hair: a review

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.008332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.008332Z digest=sha256:39c3bae340159cdeb3a19a1e1a4623fcffea98fa0aecd83fd78a4ced4d63207a

Observation 9d37c59c-2bdf-4173-8841-d1272627838a · outbound

This paper cites On one exact solution of the einstein system of equations and a massless scalar field (russian),.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes On one exact solution of the einstein system of equations and a massless scalar field (russian),

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.959378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.011818Z digest=sha256:78b48e92bcd144d2439796a2867a2610f1fe6e46a11fbea0d35343ca364643fd

Observation 3bd37457-40de-4c10-88fb-58f4eda2f670 · outbound

This paper cites Exact solutions of Einstein conformal scalar equations,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Exact solutions of Einstein conformal scalar equations,

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.948121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.015388Z digest=sha256:a66ec91fe391462a2b5a8ffab4dda3d2f5707beac329751bfca1026c905d688c

Observation c82dd33e-92a9-47ca-84cc-1c14f12d4378 · outbound

This paper cites The Gravity of three forms,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes The Gravity of three forms,

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.937057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.018623Z digest=sha256:a03b299a78f9642f5c7da7fd19feab252a75eb26f0cf7af2376359a7bc4fc85b

Observation 5e68b68a-470f-4944-ba1b-e2397bc41ef4 · outbound

This paper cites Black holes in new massive conformal gravity.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Black holes in new massive conformal gravity

Reference 66

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:03.174011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.021688Z digest=sha256:9297afa2e8931ef48414a967d826711f73cd0b2c051173feede5af8d4e386c09

Observation b74b7596-fd54-4bb3-9b67-f59bd3447fc5 · outbound

This paper cites New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.025269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.025269Z digest=sha256:1dd7fe01cb09b4e616c25bd7d01ee3ddd5aedf3258c6346a68827af86722895d

Observation e6699497-c399-4c57-aac7-61da6034e45a · outbound

This paper cites Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.028586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.028586Z digest=sha256:ea28205792b2164c5ccb5811a649ea5a57969f76298a6e6ebf22731e548013cf

Observation e79a6a2e-2f4b-46b3-9d6f-85355175c05e · outbound

This paper cites Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.031993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.031993Z digest=sha256:2e8cb873a3c33d2820d7f89ab090e8f3714cbc1a5746de555ca2406b2a3d0aff

Observation 1a1085d5-6fbe-4515-afde-ffc21db34faa · outbound

This paper cites Spontaneous scalarisation of charged black holes.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Spontaneous scalarisation of charged black holes

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.035289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.035289Z digest=sha256:08c8e2d83199eaf2e993e71901dbadc651a26ad0b8cdc919233f8c915fe26b73

Observation feec0d8c-b930-42ac-af4e-c3e6e271c8e0 · outbound

This paper cites Instability of Reissner-Nordstr\"{o}m black hole in Einstein-Maxwell-scalar theory.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Instability of Reissner-Nordstr\"{o}m black hole in Einstein-Maxwell-scalar theory

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.038754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.038754Z digest=sha256:71db377e57a28f610332fac4d1b3f47b28342cb558e1719e17a57f08cdd9f40c

Observation 1843ffd5-f66e-4ea9-8a58-fb5fde82bbcc · outbound

This paper cites Embedding hairy black holes in a magnetic universe.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Embedding hairy black holes in a magnetic universe

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:03.042040Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:03.042040Z digest=sha256:0be7371bc12e0c7a6afbe03f276a44a2805f5c754a8536661d3043f2fc432c34

Observation 0d8f349f-2c06-4622-9097-08505e5a2e25 · outbound

This paper cites Instability of Black Holes with Scalar Charge,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Instability of Black Holes with Scalar Charge,

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.925808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.045323Z digest=sha256:8313bfca17ca390e870e76be64cf53bc91651e5f74330b7643c05bc3b163505e

Observation 843b7e36-906a-4b0e-bc4a-d5ebc3cf4d47 · outbound

This paper cites Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory

Reference 74

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:03.085756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.049014Z digest=sha256:049e1bb0b07a76bfce4f4d94090cdbd26241827f5e267b10875554bce83a590c

Observation b9c38646-b722-465d-b8af-b10696cee66e · outbound

This paper cites Gravitational lensing effects of black hole with conformally coupled scalar hair,.

Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes Gravitational lensing effects of black hole with conformally coupled scalar hair,

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:20:03.913742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T15:20:03.052371Z digest=sha256:e8c06ea1a34548e5e2d2e5cc0de043f41e6905487374338805d311477c0cb78b

Pith citing papers

No inbound Pith citation observations are available.