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We revisit the general topic of thermodynamical stability and critical phenomena in black hole physics, analyzing in detail the phase diagram of the five dimensional rotating black hole and the black rings discovered by Emparan and Reall.…

High Energy Physics - Theory · Physics 2013-05-29 Giovanni Arcioni , Ernesto Lozano-Tellechea

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 represent a new approach to exploring the thermodynamic topology of black holes, without introducing the nonphysical variable $\Theta\in[0,\pi]$ considered in previous studies, where black holes can exchange both energy and matter with…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Cao H. Nam

The images of supermassive black holes captured by the Event Horizon Telescope (EHT) collaboration have allowed us to have access to the physical processes that occur in the vicinity of the event horizons of these objects. This has enabled…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Gaston Giribet , Emilio Rubin de Celis , Pedro Schmied

In this paper, we take into account black hole solutions of Brans-Dicke-Maxwell theory and investigate their stability and phase transition points. We apply the concept of geometry in thermodynamics to obtain phase transition points and…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. H. Hendi , S. Panahiyan , B. Eslam Panah , Z. Armanfard

In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Ning-Chen Bai , Lei Li , Jun Tao

This work investigates the optical properties of a static, spherically symmetric, electrically charged black hole in f(R) gravity coupled to Euler-Heisenberg(EH) nonlinear electrodynamics(NLED). By analyzing photon trajectories in this…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Khadije Jafarzade , Saira Yasmin , Mubasher Jamil

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hernando Quevedo

We present a unified thermodynamical description of the configurations consisting on self-gravitating radiation with or without a black hole. We compute the thermal fluctuations and evaluate where will they induce a transition from…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Renaud Parentani , Joseph Katz , Isao Okamoto

Modified gravity theories are of great interest in both observational and theoretical studies. In this article we study the correlation between the null geodesics in the background of a four-dimensional Einstein-Maxwell-Gauss-Bonnet AdS…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Kartheek Hegde , A. Naveena Kumara , C. L. Ahmed Rizwan , Md Sabir Ali , Ajith K. M

In this paper we propose a straightforward method for understanding the thermodynamics of black holes in de Sitter space, one that will allow us to study these black holes in a way that is analogous to the anti-de Sitter case. As per usual,…

High Energy Physics - Theory · Physics 2016-12-07 David Kubiznak , Fil Simovic

Phase transition is important for understanding the nature and evolution of the black hole thermodynamic system. In this study, the connection between the phase transition of a black hole and the winding number derived by the complex…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Yu-Shan Wang , Zhen-Ming Xu , Bin Wu

This paper investigates the appearance characteristics of static black holes embedded in Dehnen-(1,4,5/2)-type dark matter halos with a quintessential field, focusing on how the dark matter halo and dark energy affect the black hole images.…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Hong-Er Gong , Junlin Qin , Yusen Wang , Bofeng Wu , Zhan-Feng Mai , Xiao Zhang , Enwei Liang

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

Quantum effects in general induce scale dependence in the coupling constants. We explore this possibility in gravity, with a scale-dependent Newton coupling. When applied to Kerr black holes with such a running coupling, the consistency of…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Che-Yu Chen , Chiang-Mei Chen , Nobuyoshi Ohta

In this paper, by exploring the photon motion in the region near the Bardeen black hole, the shadow and observation properties of the black hole surrounded by various accretion models are studied. We analyzed the changes in shadow imaging…

High Energy Physics - Theory · Physics 2022-08-17 Ke-Jian He , Sen Guo , Shuang-Cheng Tan , Guo-Ping Li

Using the geometrical thermodynamic approach, we study phase transition of Brans--Dicke Born--Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its…

High Energy Physics - Theory · Physics 2017-12-08 S. H. Hendi , M. S. Talezadeh , Z. Armanfard

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

In this work, we introduce a screened Simpson-Visser regular solution and perform a comprehensive study of its physical and observational properties. We begin by analyzing the thermodynamic behavior of the black hole, including detailed…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Faizuddin Ahmed , Ahmad Al-Badawi , Edilberto O. Silva

In this letter, using the rainbow functions that were proposed by Magueijo and Smolin, we investigate the thermodynamics and the phase transition of rainbow Schwarzschild black hole. First, we calculate the rainbow gravity corrected Hawking…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Zhong-Wen Feng , Shu-Zheng Yang