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We compute the black hole entropy in the context of the Modified Dispersion Relations using the brick wall model. An explicit dependence of the radial coordinate approaching the horizon is shown to analyze the behavior of the divergence. We…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Remo Garattini

We research the entropy of a black hole in curved space-times by 't Hooft`s approach, so-called the brick wall method. One of these space-time, a asymptotically dS space-time has two physical horizons; one is a black hole horizon and the…

High Energy Physics - Theory · Physics 2007-05-23 Kyung-Seok Cha , Bum-Hoon Lee , Chanyong Park

In this article, we will discuss a Lorentzian sector calculation of the entropy of a minimally coupled scalar field in the Schwarzschild black hole background using the brick wall model of 't Hooft. In the original article, the WKB…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Kaushik Ghosh

Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri Fursaev

We study the 't Hooft's brick wall model for black holes in a holographic context. The brick wall model suggests that without an appropriate near horizon IR cut-off, the free energy of the probe fields show the divergence due to the large…

High Energy Physics - Theory · Physics 2015-01-05 Norihiro Iizuka , Seiji Terashima

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

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

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

There have been many attempts to understand the statistical origin of black-hole entropy. Among them, entanglement entropy and the brick wall model are strong candidates. In this paper, first, we show that the entanglement approach reduces…

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

We discuss the statistical-mechanical entropy of black hole calculated according to 't Hooft. It is argued that in presence of horizon the statistical mechanics of quantum fields depends on their UV behavior. The ``brick wall'' model was…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Solodukhin

We examine a possibility that, when a black hole is formed, the information on the collapsed star is stored as the entanglement entropy between the outside and the thin region (of the order of the Planck length) of the inside the horizon.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiroaki Terashima

The black-hole firewall theorem derives a suspicious consequence (large energy-momentum density on the horizon of a black hole) from a set of seemingly reasonable hypotheses. I point out the hypothesis which is likely to be unrealistic---a…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Carlo Rovelli

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 consider a possibility that the entropy of a Schwarzschild black hole has two different interpretations: The black hole entropy can be understood either as an outcome of a huge degeneracy in the mass eigenstates of the hole, or as a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Makela , P. Repo

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

It is shown that the classical entropy of the extremal black hole depends on two different limits procedures. If we first take the extremal limit and then the boundary limit, the entropy is zero; if we do it the other way round, we get the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ru-Keng Su , Bin Wang , P. K. N. Yu , E. C. M. Young

The many low energy modes near a black hole horizon give the thermal atmosphere a divergent entropy which becomes of order $A/4G$ with a Planck scale cut-off. However, Sorkin has given a Newtonian argument for 3+1 Schwarzschild black holes…

High Energy Physics - Theory · Physics 2008-11-26 Donald Marolf

It is generally admitted that gravitational interactions become large at an invariant distance of order $1$ from the black hole horizon. We show that due to the ``atmosphere'' of high angular particles near the horizon strong gravitational…

High Energy Physics - Theory · Physics 2009-10-30 A. Casher , F. Englert , N. Itzhaki , S. Massar , R. Parentani

The aim of this work is to study the role of relative entropy in the thermodynamics of black holes and cosmological horizons. We adapt some recent results on the relative entropy of coherent excitations of the vacuum, to find the variation…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Edoardo D'Angelo

To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip