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For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated. It is equal to the Bekenstein-Hawking entropy. In this article, its statistical entropy in the higer curvature gravity is calculated and shown to be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiromi Saida , Jiro Soda

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

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

The Euclidean action and entropy are computed in string-generated gravity models with quadratic curvatures, and used to argue that a negative mass extremal metric is the background for hyperbolic (k=-1) black hole spacetimes, k being the…

High Energy Physics - Theory · Physics 2009-11-07 Ishwaree P. Neupane

The canonical approach to black hole entropy in Poincar\'e gauge theory without matter is extended to include Maxwell field as a matter source. The new formalism is used to calculate asymptotic charges and entropy of Kerr--Newmann--AdS…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Milutin Blagojević , Branislav Cvetković

One of the remarkable features of black holes is that they possess a thermodynamic description, even though they do not appear to be statistical systems. We use self-gravitating magnetic monopole solutions as tools for understanding the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Arthur Lue , Erick J. Weinberg

We calculate the statistical mechanical entropy associated with boundary terms in the two-dimensional Euclidean black holes in deSitter gravity.

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. Gegenberg , G. Kunstatter , T. Strobl

The connection between black hole thermodynamics and chemistry is extended to the lower-dimensional regime by considering the rotating and charged BTZ metric in the $(2+1)$-D and a $(1+1)$-D limits of Einstein gravity. The Smarr relation is…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Antonia M. Frassino , Robert B. Mann , Jonas R. Mureika

We formulate the classical gravitational entropy of a horizon as a Noether charge that does not require the notion of a temperature, and which is applicable to horizons that are not necessarily associated with black holes. This introduces a…

High Energy Physics - Theory · Physics 2025-10-06 Sangmin Choi , Malcolm J. Perry

We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale invariant non-relativistic d+1 dimensional quantum system with dynamical exponent z=2. The gravitational model involves a massive…

High Energy Physics - Theory · Physics 2009-02-23 Pavel Kovtun , Dominik Nickel

The dark energy issue is focusing the attention of an incresing number of physicists all over the world. Among the possible alternatives in order to explain what as been named the "Mystery of the Millennium" are the so-called Modified…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Emilio Bellini , Roberto Di Criscienzo , Lorenzo Sebastiani , Sergio Zerbini

We consider perturbative quantum gravity as a quantum field theory of linearized metric perturbation on an asymptotically flat spacetime with a bifurcate Killing horizon. We include the perturbative gravitational constraints into the…

High Energy Physics - Theory · Physics 2026-03-04 Avinandan Mondal , Kartik Prabhu

A diffusion equation approach to black hole thermodynamics in Euclidean sector is proposed. A diffusion equation for a generic in Euclidean sector is derived from the Bloch equation. Black hole thermodynamics is also derived and it is…

General Relativity and Quantum Cosmology · Physics 2013-03-26 K. Ropotenko

The geometric entropy in quantum field theory is not a Lorentz scalar and has no invariant meaning, while the black hole entropy is invariant. Renormalization of entropy and energy for reduced density matrices may lead to the negative free…

High Energy Physics - Theory · Physics 2009-11-10 Daniel R. Terno

Recently, a general method for calculating conserved charges for (black hole) solutions to generally covariant gravitational theories, in any dimensions and with arbitrary asymptotic behaviors has been introduced. Equipped with this method,…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Kamal Hajian

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

We give an account of the state of the art about black hole entropy in Loop Quantum Gravity. This chapter contains a historical summary and explains how black hole entropy is described by relying on the concept of isolated horizon, with an…

General Relativity and Quantum Cosmology · Physics 2022-12-29 J. Fernando Barbero G. , Daniele Pranzetti

I present a viewpoint on black hole thermodynamics according to which the entropy: derives from horizon "degrees of freedom"; is finite because the deep structure of spacetime is discrete; is "objective" thanks to the distinguished coarse…

High Energy Physics - Theory · Physics 2011-10-20 Rafael D. Sorkin

We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration…

High Energy Physics - Theory · Physics 2018-07-06 Soonkeon Nam , Jong-Dae Park

We consider whether the new horizon-first law works in higher-dimensional $f(R)$ theory. We firstly obtain the general formulas to calculate the entropy and the energy of a general spherically-symmetric black hole in $D$-dimensional $f(R)$…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Chenrui Zhu , Rong-Jia Yang

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
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