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We review the remarkable relationship between the laws of black hole mechanics and the ordinary laws of thermodynamics. It is emphasized that - in analogy with the laws of thermodynamics - the validity the laws of black hole mechanics does…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

We show by explicit computations that there is a superficial inconsistency between the conventional first law of black hole thermodynamics and Bekenstein-Hawking area law for three types of regular black holes. The corrected form of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Meng-Sen Ma , Ren Zhao

Thermodynamics of a large family of black holes from electrovacuum solutions of Einstein's equations is studied. This family includes rotating and non-accelerating black holes with NUT charge, and rotating and accelerating black holes. The…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Muhammad Bilal , K. Saifullah

In this work, we establish the corrected first law of thermodynamics for dynamical regular black holes on both the event horizon and apparent horizon. We find that the temperature of dynamical regular black holes derived from the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Tianxu Huo , Chengzhou Liu

The thermodynamic inconsistency observed in regular black holes is resolved through the framework of reduced thermodynamic phase spaces. We demonstrate that regular black holes are essentially induced from singular black holes by adding an…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi

We consider the generalized laws of thermodynamics in massive gravity. Making use of explicit black hole solutions, we devise black hole merger processes in which i) total entropy of the system decreases ii) the zero-temperature extremal…

General Relativity and Quantum Cosmology · Physics 2011-04-19 Fabio Capela , Peter G. Tinyakov

In this paper, we obtain topological black hole solutions of third order Lovelock gravity couple with two classes of Born-Infeld type nonlinear electrodynamics with anti-de Sitter asymptotic structure. We investigate geometric and…

High Energy Physics - Theory · Physics 2015-10-22 Seyed Hossein Hendi , Ali Dehghani

The almost perfect correspondence between certain laws of classical black hole mechanics and the ordinary laws of thermodynamics is spoiled by the failure of the conventional back hole analogue of the third law. Our aim here is to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Istvan Racz

Introducing a new form of scalar potential $V(\phi)$, we derive a proper form of the rotating black hole solution in three-dimensional Einstein gravity with nonminimally coupled scalar field and find that the first law of thermodynamics of…

High Energy Physics - Theory · Physics 2015-06-22 De-Cheng Zou , Yunqi Liu , Bin Wang , Wei Xu

Working in the framework of generalized statistics, the problem of establishing the third law of thermodynamics in the black hole physics is studied by focusing on Schwarzschild black hole which easily and clearly exposes the violation of…

General Relativity and Quantum Cosmology · Physics 2022-06-28 H. Moradpour , A. H. Ziaie , Iarley P. Lobo , J. P. Morais Graça , U. K. Sharma , A. Sayahian Jahromi

We study the variation of the massive black hole in both normal and extended thermodynamic phase spaces via two methods. The first method includes a charged particle absorbed by the black hole, while the second method includes a shell of…

General Relativity and Quantum Cosmology · Physics 2020-10-02 Shi-Qian Hu , Bo Liu , Xiao-Mei Kuang , Rui-Hong Yue

It is known now that a typical gravitational collapse in general relativity, evolving from regular initial data and under physically reasonable conditions would end in either a black hole or a naked singularity final state. An important…

General Relativity and Quantum Cosmology · Physics 2011-06-21 Daniele Malafarina , Pankaj S. Joshi

As the interaction between the black holes and highly energetic infalling charged matter receives quantum corrections, the basic laws of black hole mechanics have to be carefully rederived. Using the covariant phase space formalism, we…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Ana Bokulić , Tajron Jurić , Ivica Smolić

We present an approach to the four laws of black hole thermodynamics by utilizing the thermodynamics of quantum coherence. Firstly, Hawking effect is attributed to the decoherence of the two-mode squeezed state in a black hole spacetime.…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Xiao-Kan Guo

In this article, we revisit the thermodynamics of Hayward black holes [1] in asymptotic flat spacetime and obtain the bounds on the final mass post merger after head-on collision event of two equal mass black holes. We revisit thermal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Neeraj Kumar , Ankur Srivastav , Phongpichit Channuie

We investigate both the ``physical process'' version of the first law and the second law of black hole thermodynamics for charged and rotating black holes. We begin by deriving general formulas for the first order variation in ADM mass and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sijie Gao , Robert M. Wald

We review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds. A brief…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Robert M. Wald

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

There are some examples in the literature, in which despite the fact that the underlying theory or model does not impose a lower bound on the size of black holes, the final temperature under Hawking evaporation is nevertheless finite and…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Yuan Yao , Meng-Shi Hou , Yen Chin Ong

We discuss in the framework of black hole thermodynamics some aspects relative to the third law in the case of black holes of the Kerr-Newman family. In the light of the standard proof of the equivalence between the unattainability of the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 F. Belgiorno , M. Martellini
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