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Carlip has shown that the entropy of the three-dimensional black hole has its origin in the statistical mechanics of microscopic states living at the horizon. Beginning with a certain orthonormal frame action, and applying similar methods,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Richard J. Epp

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

In this review we try to give a pedagogical introduction to the recent progress in the resolution of old problems of black hole thermodynamics within superstring theory. We start with a brief description of classical black hole dynamics.…

High Energy Physics - Theory · Physics 2009-10-30 E. T. Akhmedov

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

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the…

High Energy Physics - Theory · Physics 2015-06-26 Thibault Damour

Black hole entropy is identified with the counting of the dynamical degrees of freedom of trapped gravitational modes continually sourced by the Hawking-Unruh process. In the context of linear perturbations of Schwarzschild spacetime the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Seth Major , Daniel Rodriguez , Thomas Takis

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

The thermodynamic entropy of an isolated system is given by its von Neumann entropy. Over the last few years, there is an intense activity to understand thermodynamic entropy from the principles of quantum mechanics. More specifically, is…

Quantum Physics · Physics 2016-07-19 S. Santhosh Kumar , S. Shankaranarayanan

In classical thermodynamics, irreversible processes are accomplished with an increase of entropy and a release of heat into the environment. In the case of black hole thermodynamics, instead, the increase of entropy is related with the…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Arturo J. Gomez , Carlos Paiva

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the…

High Energy Physics - Theory · Physics 2017-02-03 Michael Appels , Ruth Gregory , David Kubiznak

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

A general Hamiltonian approach to black hole thermodynamics is used to study entropy and conserved charges for Kerr-AdS solutions in general relativity. These thermodynamic variables are first consistently defined by choosing suitable…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Milutin Blagojević , Branislav Cvetković

It is known that static and spherically symmetric black hole solutions of general relativity in different spacetimes can be embedded into higher dimensional flat spacetime. Given this result, we have explored the thermodynamic nature of…

General Relativity and Quantum Cosmology · Physics 2019-10-29 T. R. Govindarajan , Sumanta Chakraborty

Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law…

High Energy Physics - Theory · Physics 2009-09-25 Thomas M. Fiola , John Preskill , Andrew Strominger , Sandip P. Trivedi

The close similarities of the three laws of black hole mechanics, discovered by Bardeen, Carter and Hawking, with the laws of thermodynamics led to the identification of a multiple of the area of the event horizon with entropy. However,…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Abhay Ashtekar , Daniel E. Paraizo , Jonathan Shu

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

A brief overview of the discovery that macroscopic black holes are thermodynamical systems is presented. They satisfy the laws of thermodynamics and are associated with a temperature and an entropy equal to one quarter of their horizon area…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Alejandro Perez

In the Euclidean path integral approach, we calculate the actions and the entropies for the Reissner-Nordstr\"om-de Sitter solutions. When the temperatures of black hole and cosmological horizons are equal, the entropy is the sum of…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Rong-Gen Cai , Jeong-Young Ji , Kwang-Sup Soh

We review recent progress in understanding certain aspects of the thermodynamics of black holes and other horizons. Our discussion centers on various ``entropy bounds'' which have been proposed in the literature and on the current…

High Energy Physics - Theory · Physics 2017-08-23 Donald Marolf

We present the details of a mean-field approximation scheme for the quantum mechanics of N D0-branes at finite temperature. The approximation can be applied at strong 't Hooft coupling. We find that the resulting entropy is in good…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Kabat , Gilad Lifschytz , David A. Lowe