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The explanation of black hole entropy as statistical entropy is one of the big successes of string theory. In this article we review recent progress in this subject, focussing on understanding quantum effects on black hole entropy.…

High Energy Physics - Theory · Physics 2025-02-24 Davide Cassani , Sameer Murthy

We present a novel derivation of the constraints required to obtain the underlying principles of statistical mechanics using a maximum entropy framework. We derive the mean value constraints by use of the central limit theorem and the…

Statistical Mechanics · Physics 2017-03-30 Diego Granziol , Stephen Roberts

We investigate the dependence of thermodynamic properties of black holes on the choice of statistical ensemble for a particular class of Einstein-Maxwell-Gauss-Bonnet black holes with cosmological constant. We use partial Legendre…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Hernando Quevedo , Alberto Sanchez , Safia Taj

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

Some basic features of black-hole statistical mechanics are investigated, assuming that black holes respect the principles of quantum mechanics. Care is needed in defining an entropy S_bh corresponding to the number of microstates of a…

High Energy Physics - Theory · Physics 2013-11-20 Steven B. Giddings

We discuss the thermodynamic limit in the canonical area ensemble used in loop quantum gravity to model quantum black holes. The computation of the thermodynamic limit is the rigorous way to obtain a smooth entropy from the counting entropy…

General Relativity and Quantum Cosmology · Physics 2011-09-27 J. Fernando Barbero G. , Eduardo J. S. Villaseñor

Introduced by Boltzmann under the name "monode," the microcanonical ensemble serves as the fundamental representation of equilibrium thermodynamics in statistical mechanics by counting all possible realizations of a system's states.…

Statistical Mechanics · Physics 2026-01-27 Roman Belousov , Jenna Elliott , Florian Berger , Lamberto Rondoni , Anna Erzberger

Due to the attractor mechanism, the entropy of an extremal black hole does not vary continuously as we vary the asymptotic values of various moduli fields. Using this fact we argue that the entropy of an extremal black hole in string…

High Energy Physics - Theory · Physics 2009-11-11 Atish Dabholkar , Ashoke Sen , Sandip Trivedi

We show how to obtain a consistent thermodynamic description of accelerating asymptotically AdS black holes, extending our previous results by including charge and rotation. We find that the key ingredient of consistent thermodynamics is to…

High Energy Physics - Theory · Physics 2019-05-31 Andres Anabalon , Finnian Gray , Ruth Gregory , David Kubiznak , Robert B. Mann

The maximum entropy formalism developed by Jaynes determines the relevant ensemble in nonequilibrium statistical mechanics by maximising the entropy functional subject to the constraints imposed by the available information. We present an…

Mathematical Physics · Physics 2014-02-27 M. Meléndez , P. Español

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

We address the problem of describing the thermodynamics and holography of three-dimensional accelerating black holes. By embedding the solutions in the Chern-Simons formalism, we identify two distinct masses, each with its associated first…

High Energy Physics - Theory · Physics 2024-01-10 Jia Tian , Tengzhou Lai

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincar\'e gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Milutin Blagojević , Branislav Cvetković

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 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

Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Here we calculate the entropy corresponding to the interior of a Schwarzschild black hole for…

General Physics · Physics 2019-02-28 Sandip Dutta , Ritabrata Biswas

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

We discuss the quantum mechanics and thermodynamics of the (2+1)-dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-22 S. Carlip , C. Teitelboim

The presence of a horizon breaks the gauge invariance of (2+1)-dimensional general relativity, leading to the appearance of new physical states at the horizon. I show that the entropy of the (2+1)-dimensional black hole can be obtained as…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

In this review we describe statistical mechanics of quantum systems in the presence of a Killing horizon and compare statistical-mechanical and one-loop contributions to black hole entropy. Studying these questions was motivated by attempts…

High Energy Physics - Theory · Physics 2009-10-31 Valeri Frolov , Dmitri Fursaev