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Black hole shadows and photon spheres offer valuable tools for investigating black hole properties. Recent observations by the Event Horizon Telescope Collaboration have confirmed the existence of rotating black holes. Black hole parameters…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Vitalii Vertogradov , Ali Övgün , Reggie C. Pantig

Can the observation of the "shadow" allow us to distinguish a black hole from a more exotic compact object? We study the motion of photons in a class of vacuum static axially-symmetric space-times that is continuously linked to the…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Dimitry Ayzenberg , Daniele Malafarina , Cosimo Bambi , Bobomurat Ahmedov

Future black hole (BH) imaging observations are expected to resolve finer features corresponding to higher-order images of hotspots and of the horizon-scale accretion flow. In spherical spacetimes, the image order is determined by the…

High Energy Astrophysical Phenomena · Physics 2024-05-28 Prashant Kocherlakota , Luciano Rezzolla , Rittick Roy , Maciek Wielgus

Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Vitalii Vertogradov , Ali Övgün

In this paper, we introduce a new approach to study the behavior of the photon sphere and shadow radius. Our method uses extended gravitational decoupling and reveals two important analytic results. First, the additional matter field alters…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Vitalii Vertogradov , Ali Övgün

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

We develop a non--perturbative method that yields analytical expressions for the deflection angle of light in a general static and spherically symmetric metric. It is an improvement on a method previously devised by the authors, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paolo Amore , Mayra Cervantes , Arturo De Pace , Francisco M. Fernandez

The 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere is more accurate than a deflection angle in a strong deflection limit, which is used often, because the later has hidden error terms. We…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Naoki Tsukamoto

The presence of a bright "photon ring" surrounding a dark "black hole shadow" has been discussed as an important feature of the observational appearance of emission originating near a black hole. We clarify the meaning and relevance of…

High Energy Astrophysical Phenomena · Physics 2019-07-17 Samuel E. Gralla , Daniel E. Holz , Robert M. Wald

Astrophysical black holes are usually surrounded by an accretion disk. At least parts of these accretion disks consist of a plasma in which light rays with different energies are dispersed. However, we usually do not know the exact…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Torben C. Frost

The distortion of the spacetime structure in the surroundings of black holes affects the trajectories of light rays. As a consequence, black holes can act as gravitational lenses. Observations of type Ia supernovas, show that our Universe…

General Relativity and Quantum Cosmology · Physics 2016-01-14 Ernesto F. Eiroa , Carlos M. Sendra

The deflection of light in the strong field limit is an important test for alternative theories of gravity. However, solutions for the metric that allow for analytic computations are not always available. We implement a hybrid…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Javier Chagoya , C. Ortiz , Benito Rodríguez , Armando A. Roque

Light rays passing very close to black holes may wind several times before escaping. For any given electromagnetic source around the black hole, a distant observer would thus observe two infinite sequences of images on either side of the…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Fabio Aratore , Valerio Bozza

This paper investigates gravitational lensing effects in the presence of plasma in the strong deflection limit, which corresponds to light rays circling around a compact object and forming higher-order images. While previous studies of this…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

The notion of non-equatorial spherical photon orbits is among the very special properties of the Kerr spacetime of rotating black holes and is one that leaves a clear mark on the electromagnetic and gravitational wave signature of these…

General Relativity and Quantum Cosmology · Physics 2019-04-15 George Pappas , Kostas Glampedakis

The Event Horizon Telescope (EHT) collaboration recently released horizon-scale images of the supermassive black hole M87*. These images are consistently described by an optically thin, lensed accretion flow in the Kerr spacetime. General…

High Energy Astrophysical Phenomena · Physics 2023-05-24 Hadrien Paugnat , Alexandru Lupsasca , Frédéric Vincent , Maciek Wielgus

Astrophysical black holes (BHs) are universally expected to be described by the Kerr metric, a stationary, vacuum solution of general relativity (GR). Indeed, by imaging M87$^\star$ and Sgr A$^\star$ and measuring the size of their shadows,…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Prashant Kocherlakota , Luciano Rezzolla , Rittick Roy , Maciek Wielgus

The photon sphere defines the unstable circular orbit of photons in a black hole spacetime. Photons emitted by a source located inside the photon sphere can be gravitationally lensed by the black hole and have time delays when reaching the…

High Energy Astrophysical Phenomena · Physics 2025-05-28 Yuan-Xing Gao

Circular photon orbits have become an attractive topic in recent years. They play extremely important roles in black hole shadows, gravitational lensings, quasi-normal modes, and spacetime topological properties. In our recent work,…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Chenkai Qiao , Ming Li , Donghui Xie , Minyong Guo

We compare and contrast gravitational lensing, in the strong-field limit, by photon sphere in spherically symmetric regular electrically charged (REC) black holes ($0<b\leq b_E$) and with those by corresponding REC no-horizon spacetimes…

General Relativity and Quantum Cosmology · Physics 2022-10-21 Jitendra Kumar , Shafqat Ul Islam , Sushant G. Ghosh