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An intriguing question related to black hole thermodynamics is that the entropy of a region shall scale as the area rather than the volume. In this essay we propose that the microscopical degrees of freedom contained in a given region of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcelo Botta Cantcheff , Jose A. C. Nogales

We investigate the gravitational origin of the Tsallis entropy, characterized by the nonadditive index $\delta$. Utilizing Wald's formalism within the framework of $f(R)$ modified theories of gravity, we evaluate the entropy on the black…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Rocco D'Agostino , Giuseppe Gaetano Luciano

We show that the concept of entropy and the dynamics of gravitation provide the linchpin in a unified scheme to understand the physics of black hole computers, space-time foam, dark energy, dark matter and the phenomenon of turbulence. We…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Y. Jack Ng

We consider the nonrotating isolated horizon as an inner boundary of a four-dimensional asymptotically flat spacetime region. Due to the symmetry of the isolated horizon, it turns out that the boundary degrees of freedom can be described by…

General Relativity and Quantum Cosmology · Physics 2015-06-02 Jingbo Wang , Yongge Ma , Xu-An Zhao

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Strominger

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 found black hole evolution on a quantum-gravitational scattering framework with an aim to tackle the black hole information paradox. With this setup, various pieces of the system information are explicit from the start and unitary…

High Energy Physics - Theory · Physics 2021-11-12 I. Y. Park

Suggested correspondence between a black hole and a highly excited elementary string is explored. Black hole entropy is calculated by computing the density of states for an open excited string. We identify the square root of oscillator…

High Energy Physics - Theory · Physics 2009-11-10 Romesh K. Kaul

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Giovanni Acquaviva , George F. R. Ellis , Rituparno Goswami , Aymen I. M. Hamid

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

Using the solution phase space method, we investigate the thermodynamics of black holes in Einstein-aether-Maxwell theory, for which the traditional Wald method (covariant phase space method) fails. We show the first laws of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Hai-Feng Ding , Xiang-Hua Zhai

We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Frolov , D. V. Fursaev

We study the evolution of black hole entropy and temperature in collapse scenarios, finding three generic lessons. First, entropy evolution is extensive. Second, at large times, entropy and temperature ring with twice the frequency of the…

High Energy Physics - Theory · Physics 2016-11-09 Aron Jansen , Javier M. Magan

In this thesis I examine several different concepts of black hole entropy in order to understand whether they describe the same quantity. I look at statistical and entanglement entropies, Wald entropy and Carlip's entropy from conformal…

General Relativity and Quantum Cosmology · Physics 2016-03-15 Judy Kupferman

Black hole thermodynamics suggests that the maximum entropy that can be contained in a region of space is proportional to the area enclosing it rather than its volume. I argue that this follows naturally from loop quantum gravity and a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John Swain

We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3+1)-dimensional spacetimes. We ascribe this entropy to the non-trivial topology of the space-like sections $\Sigma$ of the horizon. This is not forbidden…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Nikolaos Kalogeropoulos

Ever since the pioneer works of Bekenstein and Hawking, black hole entropy has been known to have a quantum origin. Furthermore, it has long been argued by Bekenstein that entropy should be quantized in discrete (equidistant) steps given…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Jacobo Diaz-Polo , Enrique Fernandez-Borja

We discuss the entropy change due to fragmentation for black hole solutions in various dimensions. We find three different types of behavior. The entropy may decrease, increase or have a mixed behavior, characterized by the presence of a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mariano Cadoni

It is argued that degrees of freedom responsible for the Bekenstein-Hawking entropy of a black hole in induced gravity are described by two dimensional quantum field theory defined on the bifurcation surface of the horizon. This result is…

High Energy Physics - Theory · Physics 2009-10-31 V. Frolov , D. Fursaev
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