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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 consider the problem of uniqueness of static and asymptotically flat Einstein-Maxwell spacetimes with a photon sphere $P^3$. We are using a naturally modified definition of a photon sphere for electrically charged spacetimes with the…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Stoytcho Yazadjiev , Boian Lazov

This study explores spherically symmetric non-linear electrodynamics black holes and their effects on light propagation. We derive the governing metric, revealing radial coordinate dynamics within the event horizon. We analyze photon…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Akhil Uniyal , Sayan Chakrabarti , Mohsen Fathi , Ali Övgün

In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a four-dimensional charged Einstein-Gauss-Bonnet black hole. The perturbation of a massless scalar field in the black hole's background is adopted. The…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Deyou Chen , Chuanhong Gao , Xianming Liu , Chengye Yu

Adapting Israel's proof of static black hole uniqueness, we show that the Schwarzschild spacetime is the only static vacuum asymptotically flat spacetime that possesses a suitably defined photon sphere.

Differential Geometry · Mathematics 2014-09-05 Carla Cederbaum

Horizon scale imaging and precision lensing have turned black holes into quantitative laboratories for strong gravity and for non standard electromagnetic physics. We study the optical appearance and orbital dynamics of a new class of…

General Relativity and Quantum Cosmology · Physics 2026-03-12 İlim İrfan Çimdiker , Ali Övgün , Yosef Verbin

We investigate the effective photon geometry associated with black holes in Kruglov nonlinear electrodynamics and its consequences for strong-field optical phenomena. This model constitutes a one-parameter generalization of Born-Infeld…

General Relativity and Quantum Cosmology · Physics 2026-05-11 H. S. Ramadhan , M. F. Fauzi , D. A. Witjaksana , A. Sulaksono

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

We consider the black hole dynamical evolution in the framework of a Lorentz-violating spacetime endowed with a Schwarzchild-like momentum-dependent metric. Large deviations from the Hawking-Bekenstein predictions are obtained, depending on…

General Relativity and Quantum Cosmology · Physics 2011-06-14 S. Esposito , G. Salesi

Uniqueness of static, asymptotically flat, non-extremal {\it photon sphere} in Einstein-Maxwell spacetime with electric and magnetic charges has been proved. Using conformal positive energy theorem, as well as, the positive mass theorem and…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Marek Rogatko

A canonical formalism for quantum electrodynamics in curved spacetime is developed. This formalism enables a systematic investigation of photons in the Schwarzschild gravitational field, yielding novel results as well as refining previous…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Masoud Molaei

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

Dynamical black holes have an apparent horizon as one of their characteristics. The later might be null, time-like, or space-like surfaces that define the evolution of a black hole. Our study examines how an apparent horizon's behavior is…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Vitalii Vertogradov

The uniqueness of static asymptotically flat photon sphere for static black hole solution in Einstein-Maxwell-dilaton theory with arbitrary coupling constant was proposed. Using the conformal positive energy theorem we show that the dilaton…

High Energy Physics - Theory · Physics 2016-03-09 Marek Rogatko

This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi

In this study, we investigate the geodesic structure, gravitational lensing/mirroring phenomena, and scalar perturbations of deformed AdS-Schwarzschild black holes with global monopoles, incorporating both ordinary and phantom…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

We study 4-dimensional asymptotically flat electrostatic electro-vacuum spacetimes with a connected black hole, photon sphere, or equipotential photon surface inner boundary. Our analysis, inspired by the potential theory approach by…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Stefano Borghini , Carla Cederbaum , Albachiara Cogo

This paper investigates photon motion in black hole of Einstein-Maxwell-dilaton theory, exploring black hole shadows and observational characteristics under various accretion models. We first give the relation of the event horizon, photon…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Junlin Qin , Hong-Er Gong , Yusen Wang , Zhan-Feng Mai , Bofeng Wu , Sen Guo , Enwei Liang

While the effects of solar mass change can be neglected in studies of solar periapsis shifts-given the relevant timescales and magnitude of change-the influence of a black hole's dynamic and chaotic mass variation on the Periapsis Shift of…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Mohammad Ali S. Afshar , Jafar Sadeghi

In this work, we investigate the gravitational lensing effects and the dynamic evolution of the shadow of Vaidya black holes by employing backward ray-tracing techniques. Within the celestial sphere framework, the black hole shadow exhibits…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ke-Jian He , Guo-Ping Li , Li-Fang Li , Xiao-Xiong Zeng