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When the cosmological constant, $\Lambda$, is interpreted as a thermodynamic variable in the study of black hole thermodynamics a very rich structure emerges. It is natural to interpret $\Lambda$ as a pressure and define the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Brian P. Dolan

In this paper, we consider three types (static, static charged and rotating charged) of black holes in f(R) gravity. We study the thermodynamical behavior, stability conditions and phase transition of these black holes. It will be shown…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Saheb Soroushfar , Reza Saffari , Negin Kamvar

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii)…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Aron C. Wall

The paper analyzes the thermodynamic properties of a special state of charged black holes, in which the event horizon becomes point-like and coincides with the singularity. It is shown that for such states, called black points, in contrast…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Vladimir Sokolov

Since the 1970's it has been known that black hole (and other) horizons are truly thermodynamic in nature. More generally, surfaces which are not horizons have also been conjectured to behave thermodynamically. Initially, for surfaces…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Zhi-Wei Wang , Samuel L. Braunstein

In this work, we explore the thermodynamics of black holes using the Gouy-Stodola theorem, traditionally applied to mechanical systems relating entropy production to the difference between reversible and irreversible work. We model black…

General Relativity and Quantum Cosmology · Physics 2026-02-25 S. D. Campos , R. H. Longaresi

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

Weak isolated horizon boundary conditions have been relaxed supposedly to their weakest form such that both zeroth and the first law of black hole mechanics still emerge, thus making the formulation more amenable for applications in both…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ayan Chatterjee , Amit Ghosh

The four laws of black hole mechanics have been put forward for a long time. However, the zeroth law, which states that the surface gravity of a stationary black hole is a constant on the event horizon, still lacks universal proof in…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Aofei Sang , Jie Jiang

We study the dynamical behavior of spinor particles, and get the energy-momentum relation of charged particles by solving the Dirac equation. Based on the energy-momentum relation, we investigate the laws of thermodynamics and the weak…

General Relativity and Quantum Cosmology · Physics 2019-03-22 Yi-Wen Han , Ming-Jian Lan , Xiao-Xiong Zeng

Extremal and near extremal black holes are unstable, unless they are protected by supersymmetry. For black holes in AdS$_3 \times S^3$, we study the range of parameters that bound the unstable region, the fate of extremal black holes that…

High Energy Physics - Theory · Physics 2025-07-08 Finn Larsen , Siyul Lee

We consider an Einstein-Gauss-Bonnet massive gravity model in $4D$ AdS spacetime to obtain a possible black hole solution and discuss the horizon structure of this black hole. The real roots of the vanishing metric function lead to various…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Sudhaker Upadhyay , Dharm Veer Singh

In this paper, we compute the mass and the temperature of the uncharged black holes of third order Lovelock gravity and compute the entropy through the use of first law of thermodynamics. We perform a stability analysis by studying the…

General Relativity and Quantum Cosmology · Physics 2010-04-22 M. H. Dehghani , R. Pourhasan

Whereas the usual understanding is that the entropy of only a non-extremal black hole is given by the area of the horizon, there are derivations of an area law for extremal black holes in some model calculations. It is explained here how…

High Energy Physics - Theory · Physics 2009-10-30 A. Ghosh , P. Mitra

The Lovelock gravity consists of the dimensionally extended Euler densities. The geometry and horizon structure of black hole solutions could be quite complicated in this gravity, however, we find that some thermodynamic quantities of the…

High Energy Physics - Theory · Physics 2007-05-23 Rong-Gen Cai

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with…

High Energy Physics - Theory · Physics 2022-08-03 H. Babaei-Aghbolagh , Hosein Mohammadzadeh , Davood Mahdavian Yekta , Komeil Babaei Velni

The generalized second law of thermodynamics for a system containing a black hole dynamical horizon is proposed in a covariant way. Its validity is also tested in case of adiabatically collapsing thick light shells.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Song He , Hongbao Zhang

The thermodynamics of charged topological black holes (TBHs) with different horizon geometries in $d$-dimensional Einstein-Maxwell and 4-dimensional conformal gravities is revisited using the restricted phase space formalism. The concept of…

High Energy Physics - Theory · Physics 2023-09-27 Tao Wang , Zhiqiang Zhang , Xiangqing Kong , Liu Zhao

Attention has been recently called upon the fact that the weak and null energy conditions and the second law of thermodynamics are violated in wormhole solutions of Einstein's theory with classical, nonminimally coupled, scalar fields as…

High Energy Physics - Theory · Physics 2009-11-07 S. Bellucci , V. Faraoni

We investigate a possible way of establishing a parallel between the third law of black hole mechanics, and the strong version of the third law of thermodynamics. We calculate the surface gravity and area for a naked singular null surface…

General Relativity and Quantum Cosmology · Physics 2010-09-24 K. Lochan , D. Malafarina , T. P. Singh
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