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Related papers: Black hole entropy and the renormalization group

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In this work, we have considered a spherically symmetric non-rotating charged black hole geometry where both the Newton's gravitational constant and the charge of the black hole flows with the energy scale. We have used the Kretschmann…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Arpita Jana , Soham Sen , Sunandan Gangopadhyay

A black hole considered as a part of a thermodynamical system possesses the Bekenstein-Hawking entropy $S_H =A_H /(4l_{\mbox{\scriptsize{P}}}^2)$, where $A_H$ is the area of a black hole surface and $l_{\,\mbox{\scriptsize{P}}}$ is the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Valeri P. Frolov

The standard approach of counting the number of eigenmodes of $N$ scalar fields near the horizon is used as a basis to provide a simple statistical mechanical derivation of the black hole entropy in two and four dimensions. The Bekenstein…

High Energy Physics - Theory · Physics 2009-10-28 J. G. Russo

Black hole entropy appears to be ``universal''--many independent calculations, involving models with very different microscopic degrees of freedom, all yield the same density of states. I discuss the proposal that this universality comes…

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

By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes…

High Energy Physics - Theory · Physics 2022-05-18 Cao H. Nam

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

Using the brick wall method we compute the statistical entropy of a scalar field in a nontrivial background, in two different cases. These background are generated by four and five dimensional black holes with four and three U(1) charges…

High Energy Physics - Theory · Physics 2009-10-31 Elcio Abdalla , L. Alejandro Correa-Borbonet

The Bekenstein-Hawking entropy is a cornerstone of horizon thermodynamics but quantum effects correct it, while inequivalent entropies arise also in non-extensive thermodynamics. Reviewing our previous work, we advocate for a new entropy…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

We argue that a process where a fuzzy space splits in two others can be used to explain the origin of the black hole entropy, and why a "generalized second law of thermodynamics" appears to hold in the presence of black holes. We reach the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 C. A. S. Silva , R. R. Landim

Using the fact that 2D Newton constant is wholly induced by a conformal field theory, we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni

I review various proposals for the nature of black hole entropy and for the mechanism behind the operation of the generalized second law. I stress the merits of entanglement entropy {\tenit qua\/} black hole entropy, and point out that,…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Jacob D. Bekenstein

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Fursaev

We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

The entropy of black holes in modified theories of gravity is examined in the Palatini formalism using the Noether Charge approach. It is shown that, if the gravitational coupling constant is properly identified, the entropy of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dan N. Vollick

The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations teach us that black holes must trap everything that falls…

Quantum Physics · Physics 2009-07-07 Samuel L. Braunstein , Hans-Jürgen Sommers , Karol Życzkowski

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

High Energy Physics - Theory · Physics 2011-09-30 David D. Blanco , Horacio Casini

Considering corrections to all orders in the Planck length on the quantum state density from a generalized uncertainty principle (GUP), we calculate the statistical entropy of the scalar field on the background of the Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yong-Wan Kim , Young-Jai Park

In gravitational thermodynamics, the entropy of a black hole with distinct surface gravities can be evaluated in a microcanonical ensemble. At the $WKB$ level, the entropy becomes the negative of the Euclidean action of the constrained…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhong Chao Wu

Black-holes are considered to be theoretical laboratories for testing models of quantum gravity. It is usually believed that any candidate for quantum gravity must explain the microscopic origin of the Bekenstein-Hawking ($S_{_{\rm BH}}$)…

General Relativity and Quantum Cosmology · Physics 2010-05-12 S. Shankaranarayanan

We aim to provide a microscopic explanation of observed 4D black holes based on the compactification of 5D Einstein gravity plus a positive cosmological constant on a circle. The framework of the dimensional reduction in this work allows us…

High Energy Physics - Theory · Physics 2026-03-10 Cao H. Nam