Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T14:17:33.036302Z
Paper Citation Record · LEDGER
As of 4 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 4 inbound Pith citation observations for arXiv:2512.22267.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T14:17:33.036302Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-30T05:43:21.043656Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-04T07:29:39.462269Z
86 of 86 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 63a86e12-21a5-4923-91da-cb2d284c95fb · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations (7) can be integrated in order to produce the following mass function mH(r)=M BH +M H r−r in r+a 0 !2 ,(11) whereM H = 2πa3 0ρ0 1+rin/a0 is the total mass of the distribution
Reference 1
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Observation c5f76d00-00a8-49da-921a-f89cba7e6bc5 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations This density model matches the Navarro-Frenk-White (NFW) model [48] at scales much larger thanR S
Reference 2
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Observation 788a1304-6597-4fe6-b12d-e5d283f626d0 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations κr2 cm(rc) rc−3m(r c) #1/2 .(27) Now using Eq. (24) we conclude that the energy for circular orbits reads as1 Ec =
Reference 3
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Observation ff73ad3a-3c3e-4c60-b88f-4ea1f5baa8f9 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations (27) and (28), are undefined for the LR case
Reference 4
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Observation e54eb02b-ccec-4f93-8b09-9c3a5d36c2f7 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations IfV ′′ eff >0 we have a stable geodesic, if V′′ eff <0 we have an unstable geodesic, and ifV ′′ eff =0 we have a marginally stable circular orbit (MSCO)
Reference 5
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Unavailable: canonical work link unavailable.
Observation 2ac926e9-a068-4115-8fa3-c7565e43a097 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 6
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Observation 11995a43-96f3-4b59-a65f-26fc40f53570 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations (29) for each of the density profile models
Reference 7
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Observation 1d54000c-18d1-47e4-b1a5-56e6be913a18 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 8
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Observation 1aa8ba68-18e4-4527-b940-071146c48366 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations 1, we present the parameter space characterized by (ρ0,a 0) in the first column and the parameter space charac- terized by (a 0,M) in the second column
Reference 9
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Observation 42b2e3ea-ca9a-4827-a122-5a004ee92b9f · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 10
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Observation fbece250-bfd8-4c5a-9c25-f86e9490d606 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations There is, however, a viable per- turbative approach to search for approximate solutions
Reference 11
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Observation 938c356c-d30b-4f92-93fa-b4982e63f120 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations (32), (33) and (48), together with the analytical ap- proximations of the location of the LR and the ISCO from the previous section
Reference 12
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Observation f4997f71-c702-4d25-97c0-258222f8308e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations PGC Generación de Conocimiento
Reference 13
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Observation 5a46abcc-3449-4f00-b251-45e942df966b · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 14
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Observation f467b351-420a-487a-86ec-c2036e3d48e4 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations The Kerr Metric
Reference 15
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Observation e521b10f-7186-4513-8b21-0b49fd9bc914 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Stationary Black Holes: Uniqueness and Beyond
Reference 16
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Observation 640adbac-b0a9-4754-a718-e51830cdfc1b · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Cardoso, K
Reference 17
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Observation 7234fc97-6103-4ddd-8376-cd22c1444f68 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Can environmental effects spoil precision gravitational-wave astrophysics?
Reference 20
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Observation 918063c2-0e1d-4ed3-98aa-98470c15ec24 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 21
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Observation 5463d85f-6ee3-4c1d-8b71-5834a8c725da · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Annihilation Radiation from a Dark Matter Spike at the Galactic Centre
Reference 22
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Observation 073ace9d-010b-4e59-8477-962bd155246d · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations On the capture of dark matter by neutron stars
Reference 23
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Observation 1253d47e-c121-4c3b-bf54-50d88f173d28 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Capture of Leptophilic Dark Matter in Neutron Stars
Reference 24
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Observation 3994a9f9-0064-4241-8931-a54fb164e6e8 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Fuzzy Dark Matter Soliton Cores around Supermassive Black Holes
Reference 25
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Observation 2a7354d9-232e-48f0-a190-dfbbe423e412 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Detecting dark matter around black holes with gravitational waves: Effects of dark-matter dynamics on the gravitational waveform
Reference 26
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Observation d75de62f-2ad9-4844-b79b-50860eeffe72 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations A Dark-Matter Spike at the Galactic Center?
Reference 27
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Observation c8e5f7fb-2f05-4a60-add1-54617d607cd1 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Density spikes near black holes in self-interacting dark matter halos and indirect detection constraints
Reference 28
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Observation f1e10521-cf7f-4fe7-bb00-39d649990241 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Probing black holes in a dark matter spike of M87 using quasinormal modes
Reference 29
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Observation 19988b02-397c-4987-8cb8-b5186d4667ba · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Hernquist, An Analytical Model for Spherical Galaxies and Bulges, Astrophys
Reference 30
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Observation 9d69334e-5bde-4877-abf7-b6bf4cdca524 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 31
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Observation 29411aa8-99e3-45b4-a22a-32c389fb077e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 32
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Observation de2107d0-a980-41fd-9052-586ab6a9f3e4 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Dark Matter Accretion into Supermassive Black Holes
Reference 33
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Observation 85ef4c21-53ab-4a33-8356-d46e58107dd6 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Dark matter spikes in the vicinity of Kerr black holes
Reference 34
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Observation 1d694d48-f412-4175-8053-a712d89f79de · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Gondolo and J
Reference 35
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Observation 903749d4-899e-4c47-836e-6e89b12fcdb9 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Sadeghian, F
Reference 36
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Observation a4dc5f8f-cb51-420e-8013-3194bb796095 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Search for Dark Matter Effects on Gravitational Signals from Neutron Star Mergers
Reference 37
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Observation d4b5d9f3-3ce8-4678-a56b-89352f4d53ea · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Gravitational wave signatures of dark matter cores in binary neutron star mergers by using numerical simulations
Reference 38
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Observation f1abe9c5-5a5b-4909-a9a3-9cc13cd90ccd · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Speeney, A
Reference 39
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Observation 647ea8f8-0603-4d0e-9579-d77235660524 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Gravitational waves from binary black holes in a self-interacting scalar dark matter cloud
Reference 40
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Observation 73e20015-d447-4ed6-b42a-6b3834ee374e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7{\rm Li} + n \rightarrow {}^8{\rm Li} + \gamma$
Reference 41
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Observation 66cfc658-4989-42a2-814e-1f4f75192878 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Eikonal quasinormal modes of black holes beyond General Relativity
Reference 42
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Observation c4a0d634-9620-4296-898d-90b573110d6d · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
Reference 43
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Observation 63624e44-a4c2-45a0-89c8-88cc2d55ef6b · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Quasinormal modes of black holes encircled by a gravitating thin disk
Reference 44
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Observation edfa7645-9c25-4a3f-86d1-ca7ae3e0e336 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Parasitic black holes: the swallowing of a fuzzy dark matter soliton
Reference 46
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Observation 7ade4bd6-bfa4-4b9d-9b41-453bb967ccf5 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Black hole merger simulations in wave dark matter environments
Reference 47
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Observation 1949c9fb-caa2-4d8a-b5fd-59159b1c71fc · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Piercing of a solitonic boson star by a black hole
Reference 48
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Observation 03184504-1519-416a-b0ab-74eb4c6b7875 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations The effect of wave dark matter on equal mass black hole mergers
Reference 49
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Observation c0bc0446-6822-41bd-8975-d51bf48b4917 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Self-interacting scalar dark matter around binary black holes
Reference 50
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Observation 364ee11a-bd1d-41cb-9b74-67f375c277d9 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Black holes surrounded by generic dark matter profiles: appearance and gravitational-wave emission
Reference 51
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Observation 71dc52d8-4396-443c-a6e2-04081ad53e31 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Boonserm, T
Reference 52
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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 23075958-1ce4-47ca-8097-9071d18c5cb8 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Field sources for Simpson-Visser space-times
Reference 53
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Observation 12675c5f-2d2e-4d5f-b6df-cbf82e3a5168 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 54
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Observation 8b69ab2c-2469-4f47-8ee8-ebd850deea2a · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Einstein, On a stationary system with spherical symmetry consisting of many gravitating masses, Annals of Mathematics 40, 922 (1939)
Reference 55
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Observation 6495f6a8-0521-4482-a966-825616e1ce00 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Geralico, F
Reference 56
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Observation 6224cd30-2502-4ad1-8b02-cd5e14875f42 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 57
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Observation 45a8c00b-ec27-457a-b9db-54aca9c9df91 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Black holes surrounded by Einstein clusters as models of dark matter fluid
Reference 58
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Observation 8f224f7f-3af5-49a6-951a-ef20a2dbbca8 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 60
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Observation 07b6a9a3-7073-4a41-b4a5-0554d9fa1f0e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 61
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Observation fbb33021-8e6e-456c-9f60-e913f547a66f · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Silket al.,Particle Dark Matter: Observations, Models and Searches, edited by G
Reference 62
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Observation c2ad7b02-4a6e-4a82-b55d-e30dc1f30e60 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Cardoso, A
Reference 63
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Observation a67fc1cc-fc0f-4d5a-9e78-eae3b7c0aad9 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Deich, N
Reference 64
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Observation 4c71aabc-6782-4b07-a779-9c4875fe6827 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Accretion disk luminosity for black holes surrounded by dark matter
Reference 65
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Observation fd0da004-b2c8-4990-99f9-e5957240c320 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Thin accretion disk luminosity and its image around rotating black holes in perfect fluid dark matter
Reference 66
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Observation 0d138ab9-fed6-4124-934b-742445516f58 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Shadows of black holes with dark matter halo
Reference 67
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Observation 29f8eb9c-b499-4b51-a73d-232faad63a27 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Einstein Cluster as Central Spiky Distribution of Galactic Dark Matter
Reference 68
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Observation 6190d819-57ee-4620-a0ee-79f8c2e67337 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Hackmann and C
Reference 69
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Observation 5c38e22a-c96f-45d4-b9c7-d07f50ac105e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Hackmann and C
Reference 70
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Observation cafbd03d-ee9b-47c7-bf36-e8c4a7db997b · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations García, E
Reference 71
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Observation 11bcd8ec-e3b3-40a7-ae8b-139d614000fb · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Are eikonal quasinormal modes linked to the unstable circular null geodesics?
Reference 72
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Observation e54cfe8f-8f14-4e10-b1b8-e7075b8863d6 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
Reference 73
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Observation 5a4c0bd4-1fb4-41d8-b02b-d5f8f9a1b38e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Slowly Decaying Waves on Spherically Symmetric Spacetimes and an Instability of Ultracompact Neutron Stars
Reference 74
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Observation d178c862-06ca-4b3a-a8d5-43321b1b817a · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Exotic Compact Objects and the Fate of the Light-Ring Instability
Reference 75
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Observation 68993793-ecc2-4c41-9d23-d033a15fbd4e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
Reference 76
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Observation e8d17b4b-9bc3-4c4e-b7d4-8de70c31baa0 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Mashhoon, QUASINORMAL MODES OF A BLACK HOLE, in3rd Marcel Grossmann Meeting on the Recent De- velopments of General Relativity(1982)
Reference 77
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Observation b74b6ff4-bcca-4744-9dc1-04cafda60e18 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 78
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Observation 52629659-02cd-48bf-8654-9e95c40f8ce7 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Light ring stability in ultra-compact objects
Reference 79
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Observation 8ceabd37-adb4-4799-9ccc-525c16f83e0a · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 80
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Observation c0855cf6-8181-43fc-a901-b787f75a5b6e · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Andersson, Y
Reference 81
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Observation a88d2ef9-db2e-44b9-8a4f-75aea1659e72 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 82
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Observation a326d3af-ea20-4400-abb2-eb93411ac094 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Unresolved cited work
Reference 83
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Observation a272e2f8-1992-4cbd-b250-c65082f49644 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Light rings and long-lived modes in quasi-black hole spacetimes
Reference 84
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Observation 51d7e71a-895f-4e3a-973a-e1175cf674bd · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Quasinormal Modes of Black Holes with Multiple Photon Spheres
Reference 85
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Observation d85f32b3-16a6-4f4d-a12b-fbb639ccf1a7 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Scattering of particles by neutron stars: Time-evolutions for axial perturbations
Reference 86
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Observation f372a9e2-4a32-482a-b003-9a2441483d96 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Is the gravitational-wave ringdown a probe of the event horizon?
Reference 87
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Observation 5334595f-4578-4016-b4dd-e77aa454dd22 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
Reference 88
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Observation e55446ee-64ad-48fb-9240-030bec3be848 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Testing the nature of dark compact objects: a status report
Reference 89
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Observation f7409f60-3aed-4d7d-97d3-89053111ea28 · outbound
Matter environments around black holes: geodesics, light rings, and ultracompact configurations Prospects for Fundamental Physics with LISA
Reference 90
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Observation 6a143925-33ce-4193-8eb4-a47f2ca35854 · inbound
Properties of black holes in non-linear electrodynamics Matter environments around black holes: geodesics, light rings, and ultracompact configurations
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 48d3bdb0-8d70-42c8-8f85-cbfe591bd73f · inbound
Properties of black holes in non-linear electrodynamics Matter environments around black holes: geodesics, light rings, and ultracompact configurations
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation df62d1e3-021b-4534-8c54-de85f592ac4c · inbound
Black bounce solutions in a realistic dark matter halo from M60* Matter environments around black holes: geodesics, light rings, and ultracompact configurations
Reference 94
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3552dd91-1d8b-46c5-bfe0-a7935df0911c · inbound
Mass-Varying Dark Matter Induced Scalarization and Scalar Clouds around Black Holes Matter environments around black holes: geodesics, light rings, and ultracompact configurations
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.