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This study investigates photon orbits around Kerr-MOG black holes. The equation of photon of motion around the Kerr-MOG black hole is derived by solving the Hamilton-Jacobi equation, expressed as a sixth-order polynomial involving the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

The Event Horizon Telescope recently produced the first images of a black hole. These images were synthesized by measuring the coherent correlation function of the complex electric field measured at telescopes located across the Earth. This…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Paul M. Chesler , Lindy Blackburn , Sheperd S. Doeleman , Michael D. Johnson , James M. Moran , Ramesh Narayan , 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

We examine the observational discrepancies of two widely used models describing anisotropic (dark) matter distributions around a black hole, focusing on their photon spheres, shadow radii, and lensing observables. The models considered are…

General Relativity and Quantum Cosmology · Physics 2026-03-26 M. F. Fauzi , H. S. Ramadhan , A. Sulaksono

The silhouette of a black hole having a critical curve (an unstable bound photon orbit) when illuminated by an optically thin accretion disk whose emission is confined to the equatorial plane shows a distinctive central brightness…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Merce Guerrero , Gonzalo J. Olmo , Diego Rubiera-Garcia , Diego Sáez-Chillón Gómez

Light that grazes a black-hole event horizon can loop around one or more times before escaping again, resulting for distance observers in an infinite sequence of ever fainter and more delayed images near the black hole shadow. In the case…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Ashish Kumar Meena , Prasenjit Saha

The light deflection under a strong gravitational field, referred to as strong gravitational lensing, provides a powerful probe of spacetime geometry. Besides, laboratory analogue models are employed to study the effects of curved spacetime…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Suting Ju , Jingxuan Zhang , Li-Gang Wang

Black hole photon spheres or light rings are closely linked to astronomical phenomena, such as the gravitational waves and the shadow in spherically symmetric or axi-symmetric spacetime. In Cunha and Herdeiro [Phys. Rev. Lett. 124, 181101…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Shao-Wen Wei

Spectral formation in steady state, spherical accretion onto neutron stars and black holes is examined by solving numerically and analytically the equation of radiative transfer. The photons escape diffusively and their energy gains come…

Astrophysics · Physics 2011-05-23 L. Titarchuk , A. Mastichiadis , N. D. Kylafis

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…

The gravitational fields of astrophysical bodies bend the light around them, creating multiple paths along which light from a distant source can arrive at Earth. Measuring the difference in photon arrival time along these different paths…

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

We study the time delay between two relativistic images due to strong gravitational lensing of the light rays caused by the Kerr and Kerr-Newman black holes. The trajectories of the light rays are restricted on the equatorial plane. Using…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Tien Hsieh , Da-Shin Lee , Chi-Yong Lin

In this work, we establish the existence conditions and a universal upper bound on the radius of stable photon spheres (SPS) outside the event horizons of static, spherically symmetric, asymptotically flat black holes surrounded by matter…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Yong Song , Jiaqi Fu , Yiting Cen

In this paper we derive exact analytical formulas for the evolution of the photon sphere and for the angular radius of the shadow in a special Vaidya spacetime. The Vaidya metric describes a spherically symmetric object that gains or loses…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Jay Solanki , Volker Perlick

It is believed that rays bent inside and outside photon spheres could affect partially the black hole shadow images by the Event Horizon Telescope and the rays near photon spheres would be detected by near-future space observations. The…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Naoki Tsukamoto

In this paper, we extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Yu-Meng Xu , Hui-Min Wang , Yu-Xiao Liu , Shao-Wen Wei

It has been reported that the photon ring structure in black hole images produces strong and universal interferometric signatures on long interferometric baselines, holding promise for measuring black hole parameters and testing general…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Yiqian Chen , Peng Wang , Haitang Yang

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

In this paper, we investigate the overlapping of photon rings - higher-order images of a black hole's luminous environment, concentrated near the shadow boundary and expected to be resolved in future observations. We consider a broad class…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Oleg Yu. Tsupko , Fabio Aratore , Volker Perlick