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For the Schwarzschild black hole the Bekenstein-Hawking entropy is proportional to the area of the event horizon. For the black holes with two horizons the thermodynamics is not very clear, since the role of the inner horizons is not well…

General Relativity and Quantum Cosmology · Physics 2021-07-26 G. E. Volovik

Using a unified approach we study the entropy of extremal black holes through the entropy of an electrically charged thin shell. We encounter three cases in which a shell can be taken to its own gravitational or horizon radius and become an…

High Energy Physics - Theory · Physics 2016-05-04 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

The first part of this work provides a review of recent research on generalised entropies and their origin, as well as its application to black hole thermodynamics. To start, it is shown that the Hawking temperature and the…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov

In this paper the entropy of an eternal Schwarzschild black hole is studied in the limit of infinite black hole mass. The problem is addressed from the point of view of both canonical quantum gravity and superstring theory. The entropy per…

High Energy Physics - Theory · Physics 2009-10-07 L. Susskind , J. Uglum

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 this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Yong Xiao

The Bekenstein-Hawking formula relates the black hole entropy and horizon area. Semiclassical entropy computations have relied on an action principle that fixes a gauge dependent and classically unobservable boundary three-geometry and…

High Energy Physics - Theory · Physics 2018-11-28 Thomas C. Bachlechner

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Abdel Nasser Tawfik , Eiman Abou El Dahab

A static self-gravitating electrically charged spherical thin shell embedded in a (3+1)-dimensional spacetime is used to study the thermodynamic and entropic properties of the corresponding spacetime. Inside the shell, the spacetime is…

High Energy Physics - Theory · Physics 2015-06-02 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

We study a spherical black hole surrounded by a hot self-gravitating thin shell in the canonical ensemble, i.e., a black hole and a hot shell inside a heat reservoir acting as a boundary with its area and temperature fixed. To work out the…

High Energy Physics - Theory · Physics 2023-11-07 José P. S. Lemos , O. B. Zaslavskii

The entropy of a seven dimensional Schwarzschild black hole of arbitrary large radius is obtained by a mapping onto a near extremal self-dual three-brane whose partition function can be evaluated. The three-brane arises from duality after…

High Energy Physics - Theory · Physics 2009-10-31 F. Englert , E. Rabinovici

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

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

Viewing the cosmological constant $\Lambda<0$ as an independent variable, we consider the thermodynamics of the Schwarzschild black hole in an anti-de Sitter (AdS) background. For this system, there is one approach which regards the…

High Energy Physics - Theory · Physics 2018-10-17 José P. S. Lemos , Oleg B. Zaslavskii

A diffusion equation for a black hole is derived from the Bunster-Carlip equations. Its solution has the standard form of a Gaussian distribution. The second moment of the distribution determines the quantum of black hole area. The entropy…

General Relativity and Quantum Cosmology · Physics 2012-05-23 Kostiantyn Ropotenko

The properties of the thermal radiation are discussed by using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity. There is no burst at the last stage of the emission of a Schwarzshild…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Li Xiang

In this essay we argue that once quantum gravitational effects change the classical geometry of a black hole and remove the curvature singularity, the black hole would not evaporate entirely but approach a remnant. In a modified…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Li Xiang , Yi Ling , You Gen Shen

We introduce the concept of black shell, consisting on a massive thin spherical shell contracting toward its gravitational radius from the point of view of an external observer far from the shell, in order to effectively model the…

General Relativity and Quantum Cosmology · Physics 2016-06-23 J. Robel Arenas S. , Fernando Castro O.

We argue that the entropy of a black hole is due to the entanglement of matter fields and gravitons across the horizon. While the entanglement entropy of the vacuum is divergent because of UV correlations, we show that low-energy…

General Relativity and Quantum Cosmology · Physics 2013-01-08 Eugenio Bianchi

We discuss the Bekenstein generalized entropy of a Schwarzschild black hole, with the contribution of an external matter field affected by degrees of freedom near the event horizon. In the Euclidean section of the Schwarzschild manifold, we…

General Relativity and Quantum Cosmology · Physics 2024-11-05 G. O. Heymans , G. Scorza , N. F. Svaiter , C. D. Rodríguez-Camargo