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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

We calculate the entropies of the system of classical particles and a quantum scalar field by using the brick wall method in thermal bath in a charged Kerr black hole spacetime. Their leading terms at Hartle-Hawking temperature $T_H =…

High Energy Physics - Theory · Physics 2009-10-30 Min-Ho Lee , Jae Kwan Kim

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

A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. Ashtekar , J. Baez , A. Corichi , K. Krasnov

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

We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Sajad Aghapour , Kamal Hajian

It is usually stated that the information storing region associated with the Bekenstein-Hawking entropy is enclosed by a sphere of diameter equal twice the Schwarzschild radius. We point out that this cannot apply to a quantum black hole.…

High Energy Physics - Theory · Physics 2024-01-26 Abram Akal

The entropy of a Schwarzschild black hole, as computed via the semiclassical Euclidean path integral in a stationary phase approximation, is determined not by the on-shell value of the action (which vanishes), but by the…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Jens Boos

The Schwarzschild black hole can be viewed as the special case of the marginally bound Lema\^\i tre-Tolman-Bondi models of dust collapse which corresponds to a constant mass function. We have presented a midi-superspace quantization of this…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Cenalo Vaz , Louis Witten

It is shown that that the area law for the entropy of a quantum field in the Schwarzschild black hole is due to the quantum statistics. The entropies for one particle, a Boltzmann gas, a quantum mechanical gas obeying Bose-Einstein or…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hyeong-Chan Kim , Min-Ho Lee , Jeong-Young Ji

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

The existence of a thermodynamic description of horizons indicates that spacetime has a microstructure. While the "fundamental" degrees of freedom remain elusive, quantizing Einstein's gravity provides some clues about their properties. A…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Cenalo Vaz

The physical interpretation of black hole's quasinormal modes is fundamental for realizing unitary quantum gravity theory as black holes are considered theoretical laboratories for testing models of such an ultimate theory and their…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Christian Corda

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

By regarding the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its formal logarithm, the R\'enyi entropy, is considered. The resulting temperature - horizon-radius relation has the same…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Tamás S. Biró , Viktor G. Czinner

We suggest in this Letter that the Bekenstein-Hawking black hole entropy accounts for the degrees of freedom which are excited at low temperatures only and hence it leads to the negative specific heat. Taking into account the physical…

High Energy Physics - Theory · Physics 2009-10-19 Andrzej Z. Gorski , Pawel O. Mazur

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics.…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Kostyantyn Ropotenko

We propose intuitive derivations of the Hawking temperature and the Bekenstein-Hawking entropy of a Schwarzschild black hole.

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. R. Silva

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

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