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Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhao Ren , Zhao Hai-Xia , Hu Shuang-Qi

We calculate the statistical entropy of a quantum field with an arbitrary spin propagating on the spherical symmetric black hole background by using the brick wall formalism at higher orders in the WKB approximation. For general spins, we…

High Energy Physics - Theory · Physics 2013-05-16 Wontae Kim , Shailesh Kulkarni

In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and the entropy of the noncommutative Schwarzschild black hole. In our model we have considered the noncommutativity implemented via the…

High Energy Physics - Theory · Physics 2021-02-12 M. A. Anacleto , F. A. Brito , S. S. Cruz , E. Passos

We investigate further the recent analysis \cite{R.Banerjee2}, based on a Hamilton-Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how non spherically symmetric…

High Energy Physics - Theory · Physics 2009-01-16 Sujoy Kumar Modak

We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy…

High Energy Physics - Theory · Physics 2013-11-12 Dharm Veer Singh , Sanjay Siwach

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

In the first order formalism of gravity theories, there are some theories which are not Lorentz-diffeomorphism covariant. In the framework of such theories we cannot apply the method of conserved charge calculation used in…

High Energy Physics - Theory · Physics 2015-12-09 M. R. Setare , H. Adami

The quantum contribution of a scalar field to entropy of a dilatonic black hole is calculated in the brick wall model by the WKB method and analyzed by a high-temperature expansion. If the cutoff distance from the horizon approaches zero,…

High Energy Physics - Theory · Physics 2013-03-21 Kiyoshi Shiraishi

In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Farook Rahaman , P. K. F. Kuhfittig , B. C. Bhui , Masiur Rahaman , Saibal Ray , U. F. Mondal

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

Using the corrected expression of Hawking temperature derived from the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond}, we calculate the corrected entropy of a high…

High Energy Physics - Theory · Physics 2009-10-31 Tao Zhu , Ji-Rong Ren , Ming-Fan Li

Using a thin shell, the first law of thermodynamics, and a unified approach, we study the thermodymanics and find the entropy of a (2+1)-dimensional extremal rotating Ba\~{n}ados-Teitelbom-Zanelli (BTZ) black hole. The shell in (2+1)…

High Energy Physics - Theory · Physics 2017-11-08 José P. S. Lemos , Masato Minamitsuji , Oleg B. Zaslavskii

We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy. We describe two methods for calculating this entropy -- a straightforward Hamiltonian…

High Energy Physics - Theory · Physics 2016-09-06 Curtin Callan , Frank Wilczek

In this work, starting by simple, approximate (quasi-classical) methods presented in our previous works, we suggest a simple determination of the (logarithmic) corrections of (Schwarzschild) black hole entropy "without knowing the details…

General Relativity and Quantum Cosmology · Physics 2008-10-07 Vladan Pankovic , Simo Ciganovic , Jovan Ivanovic

In this article, we will discuss a Lorentzian sector calculation of the entropy of a minimally coupled scalar field in the Schwarzschild black hole background using the brick wall model of 't Hooft. In the original article, the WKB…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Kaushik Ghosh

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

In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. V. Kiselev

This note is based on a talk given by one of the authors (S. D.) at the "Rencontres Math\'ematiques de Glanon", held in Glanon in July 2004. We will first introduce the BTZ black hole, solution of Einstein's gravity in 2+1 dimensions, and…

High Energy Physics - Theory · Physics 2007-05-23 P. Bieliavsky , S. Detournay , M. Rooman , Ph. Spindel

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation…

High Energy Physics - Theory · Physics 2013-12-12 Baocheng Zhang

The BTZ stationary black hole solution is considered and its mass and angular momentum are calculated by means of Noether theorem. In particular, relative conserved quantities with respect to a suitably fixed background are discussed.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Fatibene , M. Ferraris , M. Francaviglia , M. Raiteri