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By examining whether black holes fulfill the theorem of equipartition of energy we find that the notion of degrees of freedom, previously introduced for cosmic horizons, is meaningful in the case of Schwarzschild and Kerr black holes.…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Diego Pavon

Although we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Rafael D. Sorkin

It is a common belief now that the explanation of the microscopic origin of the Bekenstein-Hawking entropy of black holes should be available in quantum gravity theory, whatever this theory will finally look like. Calculations of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dmitri V. Fursaev

We consider universal properties that arise from a local geometric structure of a Killing horizon. We first introduce a non-perturbative definition of such a local geometric structure, which we call an asymptotic Killing horizon. It is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jun-ichirou Koga

In this paper, we provide a state-counting derivation of the Bekenstein-Hawking entropy formula for single-sided black holes. We firstly articulate the concept of the black hole microstates. Then we construct explicit mircostates of…

High Energy Physics - Theory · Physics 2024-09-20 Hao Geng , Yikun Jiang

Inspired by the recent conjecture that black holes are condensates of gravitons, we investigate a simple model for the black hole degrees of freedom that is consistent both from the point of view of Quantum mechanics and of General…

General Relativity and Quantum Cosmology · Physics 2013-10-24 Roberto Casadio , Alessio Orlandi

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

A microscopic derivation of the Bekenstein-Hawking entropy for the Schwarzschild black hole was presented earlier by using a non-trivial phase space. It was argued that the Schwarzschild black hole behaves like a 1D quantum mechanical…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Naman Kumar

One of the challenges of today's theoretical physics is to fully understand the connection between a geometrical object like area and a thermostatistical one like entropy, since area behaves analogously like entropy. The Bekenstein bound…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Everton M. C. Abreu , Jorge Ananias Neto

We show that the entropy of any black object in any dimension can be understood as the entropy of a highly excited string on the stretched horizon. The string has a gravitationally renormalized tension due to the large redshift near the…

High Energy Physics - Theory · Physics 2010-02-03 Edi Halyo

A key role in black hole dynamics is played by the inner horizon; most of the entropy of a slightly nonextremal charged or rotating black hole is carried there, and the covariant entropy bound suggests that the rest lies in the region…

High Energy Physics - Theory · Physics 2015-09-04 Emil J. Martinec

In statistical mechanics entropy is a measure of disorder obeying Boltzmann's formula $S=\log{\cal N}$, where ${\cal N}$ is the accessible phase space volume. In black hole thermodynamics one associates to a black hole an entropy…

General Relativity and Quantum Cosmology · Physics 2022-08-11 Erik Aurell

Three-dimensional black holes coupled to a self-interacting scalar field is considered. It is known that its statistical entropy $a' la$ Strominger does $not$ agree with the Bekenstein-Hawking (BH) entropy. However I show that, by a careful…

High Energy Physics - Theory · Physics 2009-11-10 Mu-In Park

Inspired by the recent conjecture that black holes are condensates of gravitons, we investigate a simple model for the black hole degrees of freedom that is consistent both from the point of view of Quantum mechanics and of General…

High Energy Physics - Theory · Physics 2015-06-15 R. Casadio , A. Orlandi

Black hole entropy is shown to be a consequence of restricting our description of physics to the exterior of black holes. This precludes the need for a statistical mechanical description of this entropy in terms of microstates.

General Relativity and Quantum Cosmology · Physics 2019-01-08 David Garfinkle

The possibility of planetary mass black hole production by crossing entropy limits is addressed. Such a possibility is given by pointing out that two geophysical quantities have comparable values: first, Earth's total negative entropy flux…

General Relativity and Quantum Cosmology · Physics 2012-12-21 A. M. Lisewski

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

It is shown that the Einstein-Hilbert action can be constructed by minimizing free energy. The entropy used to determine the free energy is determined on the horizon of a black hole. Some further considerations with regard to…

General Relativity and Quantum Cosmology · Physics 2014-06-12 Paul Bracken

In this note we consider a stringy description of black hole horizon. We start with a nonlinear sigma model defined on a two dimensional Euclidean surface with background Rindler metric. By solving the field equations, we show that to the…

High Energy Physics - Theory · Physics 2009-10-28 Ichiro Oda

Using quantum liquids one can simulate the behavior of the quantum vacuum in the presence of the event horizon. The condensed matter analogs demonstrate that in most cases the quantum vacuum resists to formation of the horizon, and even if…

General Relativity and Quantum Cosmology · Physics 2022-10-12 G. E. Volovik