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Under very general assumptions on the accretion flow geometry, images of a black hole illuminated by electromagnetic radiation display a sequence of photon rings (demagnified and rotated copies of the direct image) which asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-07-24 Maciek Wielgus

The photon ring of a Kerr black hole decomposes into a self-similar hierarchy of subrings. Here, we show that this self-similar structure persists in phase space. Moreover, near the photon shell of bound photon orbits, dynamics are…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Roman Berens , Peter Galison , Trevor Gravely , Alexandru Lupsasca , Leo C. Stein

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

The black hole photon ring is a prime target for upcoming space-based VLBI missions seeking to image the fine structure of astrophysical black holes. The classical Lyapunov exponents of the corresponding nearly bound null geodesics control…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Daniel Kapec , Alexandru Lupsasca , Andrew Strominger

In the presence of a rotating Kerr black hole, we investigate hydrodynamics of the massive particles and massless photons, to construct relations among number density, pressure and internal energy density of the massive particles and…

General Relativity and Quantum Cosmology · Physics 2016-10-28 Soon-Tae Hong

Simulated images of a black hole surrounded by optically thin emission typically display two main features: a central brightness depression and a narrow, bright "photon ring" consisting of strongly lensed images superposed on top of the…

High Energy Astrophysical Phenomena · Physics 2021-09-08 Andrew Chael , Michael D. Johnson , Alexandru Lupsasca

There are circular planar null geodesics at $r=3M$ around a Schwarzschild black hole of mass $M$. These geodesics form a photon sphere. Null geodesics of the Schwarzschild space-time which do not form the photon sphere are either escape to…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Andrey A. Shoom

The Kerr black holes possess a photon region with prograde and retrograde orbits radii, respectively, $M\leq r_p^-\leq 3M$ and $3M\leq r_p^+\leq 4M$, and thereby always cast a closed photon ring or a shadow silhouette for $a\leq M$. For…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Rahul Kumar , Sushant G. Ghosh

We examine the motion of the massless scalar field and nearly bound null geodesics in the near-ring region of a black hole, which may possess either acceleration or a gravitomagnetic mass. Around such black holes, the photon ring deviates…

High Energy Physics - Theory · Physics 2024-03-27 Ye-Sheng Xue , Jie Jiang , Ming Zhang

We analyze the null geodesics of regular black holes. A detailed analysis of geodesic structure both null geodesics and time-like geodesics have been investigated for the said black hole. As an application of null geodecics, we calculate…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Monimala Mondal , Anil Kumar Yadav , Parthapratim Pradhan , Sayeedul Islam , Farook Rahaman

Black hole thermodynamics is a crucial and foundational aspect of black hole physics, yet its observational verification remains exceptionally challenging. The photon sphere of a black hole, a manifestation of strong gravitational effects,…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Si-Jiang Yang , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

The bell-like ringdown of the gravitational field in the last stage of the merging of massive black holes is now routinely detected on earth by the last generation of gravitational wave detectors. Its spectrum is interpreted as a sum of…

For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

We investigate the geodesic motion in the background of Kerr-Sen Black Hole arising in the heterotic string theory. The nature of effective potential is discussed in radial as well as latitudinal direction. A special class of spherical…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Rashmi Uniyal , Hemwati Nandan K. D. Purohit

Closed photon orbits around isolated black holes are related to important aspects of black hole physics, such as strong lensing, absorption cross section of null particles and the way that black holes relax through quasinormal ringing. When…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Thiago Assumpcao , Vitor Cardoso , Akihiro Ishibashi , Mauricio Richartz , Miguel Zilhao

Light circling around an astrophysical black hole can spend a long time skirting its unstably bound photon orbits before escaping to infinity. To a distant observer, this orbiting light would appear as a bright ring encircling the image of…

High Energy Physics - Theory · Physics 2025-06-10 Stéphane Detournay , Sahaja Kanuri , Alexandru Lupsasca , Philippe Spindel , Quentin Vandermiers , Raphaela Wutte

The images of supermassive black holes surrounded by optically-thin, radiatively-inefficient accretion flows, like those observed with the Event Horizon Telescope, are characterized by a bright ring of emission surrounding the black-hole…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Ziri Younsi , Dimitrios Psaltis , Feryal Özel

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

We investigate in detail the special case of an infinitely thin static cylindrical shell composed of counter-rotating photons on circular geodetical paths separating two distinct parts of Minkowski spacetimes--one inside and the other…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Zofka

We study black hole imaging in the context of geometrically thick accretion disks in Schwarzschild spacetime. By decomposing the emitting region into a set of one-dimensional luminous segments, each characterized by its inclination angle…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Zi-Liang Wang
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