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We derive the Bekenstein-Hawking entropy formula for four and five dimensional non-supersymmetric black holes (which include the Schwarzchild ones) by counting microscopic states. This is achieved by first showing that these black holes are…

High Energy Physics - Theory · Physics 2009-10-30 K. Sfetsos , K. Skenderis

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

We computed the statistical entropy of nonextremal 4D and extremal 5D Calabi-Yau black holes and found exact agreement with the Bekenstein-Hawking entropy. The computation is based on the fact that the near-horizon geometry of equivalent…

High Energy Physics - Theory · Physics 2016-08-25 Mikhail Z. Iofa , Leopoldo A. Pando Zayas

We review aspects of the thermodynamics of black holes and in particular take into account the fact that the quantum entanglement between the degrees of freedom of a scalar field, traced inside the event horizon, can be the origin of black…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Saurya Das , S. Shankaranarayanan , Sourav Sur

We consider a possibility that the entropy of a Schwarzschild black hole has two different interpretations: The black hole entropy can be understood either as an outcome of a huge degeneracy in the mass eigenstates of the hole, or as a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Makela , P. Repo

Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly,…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

We have investigated quantum entropy of a static black hole arising from the massless scalar field with Lorentz violation induced by the coupling to Einstein tensor. Our results show that the coupled massless scalar field contributes to the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Songbai Chen , Jiliang Jing , Hao Liao

The quantum entanglement entropy of an eternal black hole is studied. We argue that the relevant Euclidean path integral is taken over fields defined on $\alpha$-fold covering of the black hole instanton. The statement that divergences of…

High Energy Physics - Theory · Physics 2016-08-24 Sergey N. Solodukhin

String theory is used to count microstates of four-dimensional extremal black holes in compactifications with $N=4$ and $N=8$ supersymmetry. The result agrees for large charges with the Bekenstein-Hawking entropy.

High Energy Physics - Theory · Physics 2009-09-17 Juan Maldacena , Andrew Strominger

We determine the corrections to the entropy of extremal black holes arising from terms quadratic in the Riemann tensor in $N=2, D=4$ supergravity theories. We follow Wald's proposal to modify the Bekenstein-Hawking area law. The new entropy…

High Energy Physics - Theory · Physics 2015-06-26 Gabriel Lopes Cardoso , Bernard de Wit , Thomas Mohaupt

The notion of black-hole entropy was introduced by Jacob Bekenstein in 1972. During past 45 years this subject was in the center of interests of the modern theoretical physics. In this paper we briefly discuss "puzzles" of the black-hole…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Valeri P. Frolov

We compute the entanglement entropy of a real massive scalar field near a non-rotating BTZ black hole using Thermo Field Dynamics. Modeling the black hole as a collapsing dust shell in AdS3, we derive the shell trajectory R(t) as seen by a…

General Relativity and Quantum Cosmology · Physics 2026-02-27 W. A. Rojas C. , J. R. Arenas S

We obtain the statistical entropy of a scalar field on the Schwarzschild black hole in holographic massive gravity by considering corrections on the density of quantum states to all orders in the Planck length from a generalized uncertainty…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

If one surrounds a black hole with a perfectly reflecting shell and adiabatically squeezes the shell inward, one can increase the black hole area A to exceed four times the total entropy S, which stays fixed during the process. A can be…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Don N. Page

We discuss the connection between different entropies introduced for black hole. It is demonstrated on the two-dimensional example that the (quantum) thermodynamical entropy of a hole coincides (including UV-finite terms) with its…

High Energy Physics - Theory · Physics 2016-08-24 Sergey Solodukhin

The quantum mechanical structure of Schwarzschild black hole is probed, in the mini super spacetime, by means of a non-singular minimal uncertainty Hartle-Hawking wave packet. The Compton width of the microstate probability distribution is…

General Relativity and Quantum Cosmology · Physics 2013-06-28 Aharon Davidson , Ben Yellin

By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

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

We derive black hole entropy based on the near-horizon symmetries of black hole space-times. To derive these symmetries we make use of an $(R,T)$-plane close to a Killing horizon. We identify a set of vector fields that preserves this plane…

General Relativity and Quantum Cosmology · Physics 2014-02-04 Olaf Dreyer , Amit Ghosh , Avirup Ghosh

In this work we generalize the results for the entropy spectra typically derived for black holes in general relativity to a generic horizon within the spherically symmetric (asymptotically flat and non-flat) space-times of more general…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Jozef Skakala , S. Shankaranarayanan
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