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There is natural association of entropy with gravitational systems on one hand and partition of natural numbers on the other hand. We show that given a partition of natural numbers, it is possible to directly associate a metric with it.…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Atreya Chatterjee

Assuming the hypothesis of the entropic nature of gravity, we calculate generalized Newtonian forces, their associated potentials and field equations, when other, in general non-extensive, entropies are considered instead of the usual…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Aldo Martínez-Merino , Octavio Obregón , Michael P. Ryan

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

Different methods of calculation of quantum corrections to the thermodynamical characteristics of a black hole are discussed and compared. The relation between on-shell and off-shell approaches is established. The off-shell methods are used…

High Energy Physics - Theory · Physics 2008-11-26 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

In this short essay we review the arguments showing that black hole entropy is, at least in part, ``entanglement entropy", i.e., missing information contained in correlations between quantum field fluctuations inside and outside the event…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ted Jacobson

We find a (quasi-)local first law of thermodynamics, $\Delta E = T \Delta S - W$, connecting gravitational entropy, $S$, with matter energy and work. For Einstein gravity $S$ is the Bekenstein-Hawking entropy, while for general theories of…

General Relativity and Quantum Cosmology · Physics 2020-11-16 Maulik Parikh , Sudipta Sarkar , Andrew Svesko

By using the brick wall method we calculate the thermodynamic potential of the complex scalar field in a charged Kerr black hole. Using it we show that in the Hartle-Hawking state the leading term of the entropy is proportional to $\frac{ A…

High Energy Physics - Theory · Physics 2007-05-23 Min-Ho Lee , Jae Kwan Kim

We study the three dimensional Schwarzschild-de Sitter (SdS$_3$) black hole which corresponds essentially to a conical defect. We compute the mass of the SdS$_3$ black hole from the correct definition of the mass in asymptotically de Sitter…

High Energy Physics - Theory · Physics 2009-11-07 Y. S. Myung

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

We consider the superconformal quantum mechanics associated to BPS black holes in type IIB Calabi-Yau compactifications. This quantum mechanics describes the dynamics of D-branes in the near-horizon attractor geometry of the black hole. In…

High Energy Physics - Theory · Physics 2008-11-26 Paul S. Aspinwall , Alexander Maloney , Aaron Simons

There is a well-known analogy between statistical and quantum mechanics. In statistical mechanics, Boltzmann realized that the probability for a system in thermal equilibrium to occupy a given state is proportional to exp(-E/kT) where E is…

Quantum Physics · Physics 2019-12-04 John C. Baez , Blake S. Pollard

I review some recent work in which the quantum states of string theory which are associated with certain black holes have been identified and counted. For large black holes, the number of states turns out to be precisely the exponential of…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Gary Horowitz

In this paper we find analytical expressions for thermodynamic quantities of scalar (tensor) and vector unparticle static black holes. We also find rotating solutions to these systems and analyse their thermodynamics. First we consider the…

High Energy Physics - Theory · Physics 2018-03-28 G. Alencar , C. R. Muniz

We consider corrections to the entropy of a black hole from an $O(N)$ invariant linear $\s$-model. We obtain the entropy from a $1/N$ expansion of the partition function on a cone. The entropy arises from diagrams which are analogous to…

High Energy Physics - Theory · Physics 2008-11-26 D. Kabat , S. H. Shenker , M. J. Strassler

A new definition of entropy is introduced using a model that simulates an expanding space-time compatible with the fundamental principle of cosmology. The entropy is obtained by mean of a state function that measures the variation of the…

General Physics · Physics 2024-05-01 Faycal Ben Adda

Adopting thin film brick-wall model, we calculate the entropy of a nonuniformly rectilinearly accelerating non-stationary black hole expressed by Kinnersley metric. Because the black hole is accelerated, the event horizon is axisymmetric.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 He Han , Zhao Zheng

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity\cite{rst1}, using recently developed Noether charge techniques\cite{wald1}. This latter approach is extended to accomodate the non-local form of the…

High Energy Physics - Theory · Physics 2010-11-01 Robert C. Myers

It is by now clear that the naive rule for the entropy of a black hole, {entropy} = 1/4 {area of event horizon}, is violated in many interesting cases. Indeed, several authors have recently conjectured that in general the entropy of a dirty…

High Energy Physics - Theory · Physics 2016-09-06 Matt Visser

In this work we present a simple, approximate method for analysis of the basic dynamical and thermodynamical characteristics of Kerr-Newman black hole. Instead of the complete dynamics of the black hole self-interaction we consider only…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Vladan Pankovic , Sima Ciganovic , Rade Glavatovic

Two techniques for computing black hole entropy in generally covariant gravity theories including arbitrary higher derivative interactions are studied. The techniques are Wald's Noether charge approach introduced recently, and a field…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ted Jacobson , Gungwon Kang , Robert C. Myers