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Related papers: Photon Rings and Shadow Size for General Integrabl…

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In a recent work PRD 106, L021501 (2022), a new geometric approach is proposed to obtain the photon sphere (circular photon orbit) and the black hole shadow radius. In this approach, photon spheres and the black hole shadow radius are…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Chen-Kai Qiao

For static black holes in Einstein gravity, if matter fields satisfy a few general conditions, we conjecture that three characteristic parameters about the spatial size of black holes, namely the outermost photon sphere area…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Run-Qiu Yang , H. Lu

Gravitational lensing of luminous matter that surrounds a black hole or some other sufficiently compact object produces an infinite sequence of images. Besides the direct (or primary) image, it comprises demagnified and deformed replicas of…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Fabio Aratore , Oleg Yu. Tsupko , Volker Perlick

Starting from the first law of black hole thermodynamics, we establish an explicit correspondence between the corrected entropy and the metric function under the condition of fixed black hole energy and horizon position. Using the corrected…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Fang Liu , Yu-Bo Ma , Yun-Zhi Du , Huai-Fan Li

The imaging by the Event Horizon Telescope (EHT) of the supermassive central objects at the heart of the M87 and Milky Way (Sgr A$^\star$) galaxies, has marked the first step into peering at the photon rings and central brightness…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Luís F. Dias da Silva , Francisco S. N. Lobo , Gonzalo J. Olmo , Diego Rubiera-Garcia

The Event Horizon Telescope (EHT) Collaboration observed ring images called the shadows of M87* and Sagittarius~A* (Sgr~A*), which are supermassive objects in M87 and our galaxy, respectively, and their general relativistic…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Naoki Tsukamoto , Ryotaro Kase

The $n=1$ photon ring is a full image of the astrophysical source around a black hole, produced by photons that execute $n\approx1$ half-orbit around the event horizon on their way to an observer. The Black Hole Explorer (BHEX) is a…

High Energy Astrophysical Phenomena · Physics 2025-09-30 Joseph R. Farah , Alexandru Lupsasca , Eliot Quataert , Michael D. Johnson

The EHT collaboration released in 2019 the first horizon-scale images of a black hole accretion flow, opening a novel route for plasma physics comprehension and gravitational tests. Although the present unresolved images deeply depend on…

High Energy Astrophysical Phenomena · Physics 2025-09-01 I. Urso , F. H. Vincent , M. Wielgus , T. Paumard , G. Perrin

The black hole shadow is fundamentally connected to the structure of light rings and the photon region in the background geometry. We investigate the photon region boundary in a generic asymptotically flat, stationary, axisymmetric black…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Prasad Padhye , Kajol Paithankar , Sanved Kolekar

The black hole spacetime is described by general relativity and characterized by two quantities: the black hole mass and spin. Black hole spin measurement requires information from the vicinity of the event horizon, which is spatially…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Kotaro Moriyama , Shin Mineshige , Mareki Honma , Kazunori Akiyama

The Event Horizon Telescope (EHT) collaboration unveiled event-horizon-scale images of the supermassive black holes (SMBHs) M87* and Sgr A*, revealing a dark brightness depression, namely the black hole shadow, whose shape and size may…

General Relativity and Quantum Cosmology · Physics 2023-07-27 Misba Afrin , Sushant G. Ghosh

We investigate Einstein-\AE ther gravity in light of the recent Event Horizon Telescope (EHT) observations of the M87*. The shape and size of the observed black hole shadow contains information of the geometry in its vicinity, and thus one…

General Relativity and Quantum Cosmology · Physics 2021-05-20 Mohsen Khodadi , Emmanuel N. Saridakis

General relativity predicts that images of optically thin accretion flows around black holes should generically have a ``photon ring,'' composed of a series of increasingly sharp subrings that correspond to increasingly strongly lensed…

High Energy Astrophysical Phenomena · Physics 2022-10-26 Paul Tiede , Michael D. Johnson , Dominic W. Pesce , Daniel C. M. Palumbo , Dominic O. Chang , Peter Galison

Very-long baseline interferometric observations have resolved structure on scales of only a few Schwarzschild radii around the supermassive black holes at the centers of our Galaxy and M87. In the near future, such observations are expected…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Tim Johannsen

Recently the Event Horizon Telescope observed black holes at event horizon scales for the first time, enabling us to now test the existence of event horizons. Although event horizons have by definition no observable features, one can look…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Joost de Kleuver , Thomas Bronzwaer , Heino Falcke , Ramesh Narayan , Yosuke Mizuno , Oliver Porth , Hector Olivares

The photon sphere, a hypersurface of null circular geodesics, plays a fundamental role in characterizing black hole spacetimes, influencing phenomena such as black hole shadows, gravitational lensing, and quasinormal modes. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Yong Song , Jiaqi Fu , Yiting Cen

The Event Horizon Telescope (EHT) captured the first images of a black hole using Very Long Baseline Interferometry (VLBI). In the near future, extensions of the EHT such as the Black Hole Explorer (BHEX) will allow access to finer-scale…

High Energy Astrophysical Phenomena · Physics 2026-01-13 Sol Gutiérrez-Lara , Daniel C. M. Palumbo , Michael D. Johnson

The Event Horizon Telescope image of the supermassive black hole in the galaxy M87 is dominated by a bright, unresolved ring. General relativity predicts that embedded within this image lies a thin "photon ring," which is composed of an…

We investigate black holes with non-minimal couplings between the electromagnetic field and spacetime curvature, focusing on their event horizons, shadows, and photon rings. Such couplings can naturally arise from both classical effective…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Zhixiang Yin , Changjun Gao , Yun-Long Zhang

Black holes hold a tremendous discovery potential. In this paper the extent to which the Event Horizon Telescope and its next generation upgrade can resolve their structure is quantified. Black holes are characterized by a perfectly…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Raúl Carballo-Rubio , Vitor Cardoso , Ziri Younsi