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We propose the use of a gravitational uncertainty principle for gravitation. We define the corresponding gravitational Planck's constant and the gravitational quantum of mass. We define entropy in terms of the quantum of gravity with the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Antonio Alfonso-Faus

The laws of mechanics of stationary black holes bear a close resemblance with the laws of thermodynamics. This is not only a mathematical analogy but also a physical one that helps us answer deep questions related to the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2010-07-26 Diptarka Das

We discuss some recent results on black hole thermodynamics within the context of effective gravitational actions including higher-curvature interactions. Wald's derivation of the First Law demonstrates that black hole entropy can always be…

General Relativity and Quantum Cosmology · Physics 2016-08-31 TED JACOBSON , GUNGWON KANG , ROBERT C. MYERS

The thermodynamic properties of black holes have been extensively studied through analogies with classical systems, revealing fundamental connections between gravitation, entropy, and quantum mechanics. In this work, we extend the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 S. D Campos

Recently it has been suggested that an increase in the fine structure constant alpha with time would decrease the entropy of a Reissner-Nordstrom black hole, thereby violating the second law of thermodynamics. In this note we point out…

High Energy Physics - Theory · Physics 2009-11-07 Malcolm Fairbairn , Michel H. G. Tytgat

The extended black hole thermodynamics in which the cosmological constant plays the role of pressure significantly enriches the phase structure of the theory. In order to understand the extended black hole thermodynamics more precisely, we…

General Relativity and Quantum Cosmology · Physics 2022-01-05 De-Chang Dai , Djordje Minic , Dejan Stojkovic

We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations…

High Energy Physics - Theory · Physics 2022-08-29 Stefan Hollands , Áron D. Kovács , Harvey S. Reall

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

As in thermodynamics, the celebrated first law of black hole mechanics relates infinitesimal changes in the properties of nearby equilibrium states of black holes (without reference to any physical process that causes the transition). Using…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Abhay Ashtekar , Daniel E. Paraizo , Jonathan Shu

The Bekenstein-Hawking entropy satisfies the generalized second law of black hole thermodynamics for arbitrary thermodynamic evolution within Einstein-Maxwell theory. In contrast, the black hole entropy that satisfies the second law in…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Xin-Yang Wang , Jie Jiang

We consider the thermodynamic properties of the constant curvature black hole solution recently found by Banados. We show that it is possible to compute the entropy and the quasilocal thermodynamics of the spacetime using the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Jolien D. E. Creighton , Robert B. Mann

Gravitational-wave detections of black hole mergers in binary systems offer an excellent opportunity to test the 2nd law of black hole thermodynamics. In this paper, we review how the entropy of any astrophysical black hole is calculated…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Joan Sonnenberg

We investigate two-dimensional dilaton gravity models with a power-law dilaton potential, whose black hole solutions contain, among others, the dimensional reduction of the Schwarzschild black hole, the Anti-de Sitter black hole and Rindler…

High Energy Physics - Theory · Physics 2009-11-07 Mariano Cadoni , Paolo Carta

The thermodynamic equilibrium states of a static thin ring shell in a (2+1)-dimensional spacetime with a negative cosmological constant are analyzed. Inside the ring, the spacetime is pure anti-de Sitter (AdS), whereas outside it is a…

General Relativity and Quantum Cosmology · Physics 2015-06-19 José P. S. Lemos , Gonçalo M. Quinta

In this thesis properties and the origin of black hole entropy are investigated from various points of view. First, laws of black hole thermodynamics are reviewed. In particular, the first and generalized second laws are investigated in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shinji Mukohyama

We present a formalism for studying the thermodynamics of black holes in dilaton gravity. The thermodynamic variables are defined on a quasilocal surface surrounding the black hole system and are obtained from a general class of Lagrangians…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. D. E. Creighton , R. B. Mann

We study the evaporation process of 2D black holes in thermal equilibrium when the incoming radiation is turned off. Our analysis is based on two different classes of 2D dilaton gravity models which are exactly solvable in the semiclassical…

High Energy Physics - Theory · Physics 2009-10-30 J. Cruz , J. Navarro-Salas

The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes. Some ambiguities in Wald's Noether…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Aron C. Wall

There would be a perfect correspondence between the laws of classical thermodynamics and black hole thermodynamics, except for the apparent failure of black hole thermodynamics to correspond to the Third Law. The classical Third Law of…

General Physics · Physics 2007-05-23 A. J. Meyer

In a (2+1)-dimensional spacetime with a negative cosmological constant, the thermodynamics and the entropy of an extremal rotating thin shell, i.e., an extremal rotating ring, are investigated. The outer and inner regions are taken to be…

High Energy Physics - Theory · Physics 2017-02-23 José P. S. Lemos , Masato Minamitsuji , Oleg B. Zaslavskii