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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

We study the quantum corrections to the four-dimensional Schwarzschild Anti de Sitter black hole using effective field theory approach. We compute the quantum correction to Hawking temperature upto order $\mathcal{O}{(G^{2})}$ for a…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Prosenjit Paul

Expectation values of one-loop renormalized thermal equilibrium stress-energy tensors of free conformal scalars, spin-${1 \over 2}$ fermions and U(1) gauge fields on a Schwarzschild black hole background are used as sources in the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 David Hochberg , Thomas W. Kephart , James W. York,

We quantize a scalar field at finite temperature T in the background of a classical black hole, adopting 't Hooft's ``brick wall'' model with generic mixed boundary conditions at the brick wall boundary. We first focus on the exactly…

High Energy Physics - Theory · Physics 2007-05-23 Giuseppe Milanesi , Mihail Mintchev

We investigate the black hole thermodynamics in a "deformed" relativity framework where the energy-momentum dispersion law is Lorentz-violating and the Schwarzchild-like metric is momentum-dependent with a Planckian cut-off. We obtain net…

General Relativity and Quantum Cosmology · Physics 2009-05-22 G. Salesi , E. Di Grezia

This paper investigates thermodynamics, quasi-normal modes, thermal fluctuations and phase transitions of Reissner-Nordstr\"om black hole with the effects of non-linear electrodynamics. We first compute the expressions for Hawking…

General Relativity and Quantum Cosmology · Physics 2022-05-10 M. Sharif , Amjad Khan

We study the thermodynamic phase transition in the rainbow Schwarzschild black hole where the metric depends on the energy of the test particle. Identifying the black hole temperature with the energy from the modified dispersion relation,…

General Relativity and Quantum Cosmology · Physics 2014-10-03 Yongwan Gim , Wontae Kim

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

In this Letter we have shown that, from the standard thermodynamic functions, the mathematical form of an equipartition theorem may be related to the algebraic expression of a particular entropy initially chosen to describe the black hole…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Everton M. C. Abreu , Jorge Ananias Neto , Edésio M. Barboza , Albert C. R. Mendes , Bráulio B. Soares

In this paper, we investigate the influence of perfect fluid dark matter and quantum corrections on the thermodynamics of non-linear magnetic-charged black hole. We consider the metric of the static non-linear magnetic-charged black hole in…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Ragil Brand Tsafack Ndongmo , Saleh Mahamat , Thomas Bouetou , Conrad Bertrand Tabi , Timoléon Crépin Kofané

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

We compute the corrections, using the tunneling formalisim based on a quantum WKB approach, to the Hawking temperature and Bekenstein-Hawking entropy for the Schwarzschild black hole. The results are related to the trace anomaly and are…

High Energy Physics - Theory · Physics 2009-04-06 Rabin Banerjee , Bibhas Ranjan Majhi

The problem of the existence of particles with negative energies inside and outside of Schwarzschild, charged and rotating black holes is investigated. Different definitions of the energy of the particle inside the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2011-08-19 A. A. Grib , Yu. V. Pavlov

We investigate the thermodynamics of Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle. The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified…

High Energy Physics - Theory · Physics 2016-09-29 Z. W. Feng , H. L. Li , X. T. Zu , S. Z. Yang

In this paper, we consider higher order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de Sitter black hole, which is indeed an exact solution of Einstein equation with a…

General Physics · Physics 2020-06-19 Behnam Pourhassan , Hoda Farahani , Sudhaker Upadhyay

Here we study the effects of the Generalized Uncertainty Principle in the tunneling formalism for Hawking radiation to evaluate the quantum-corrected Hawking temperature and entropy for a Schwarzschild black hole. We compare our results…

General Relativity and Quantum Cosmology · Physics 2013-10-14 Barun Majumder

In this paper, we investigate the thermodynamical properties of Schwarzschild-Beltrami-de Sitter black hole introduced by Mu-Lin Yan \textit{et al.} in 2013 by introducing inertial Beltrami coordinates to traditional non-inertial…

General Relativity and Quantum Cosmology · Physics 2017-08-29 Hang Liu , Xin-he Meng

In a recent paper [Entropy 2020, 22(1), 17] C. Tsallis states that entropy -- as in Shannon's or Kullback-Leiber's definitions -- is inadequate to interpret black hole entropy and suggests that a new non-additive functional should take the…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Pedro Pessoa , Bruno Arderucio Costa

The objectivity of black hole entropy is discussed in the particular case of a Schwarzchild black hole. Using Jaynes' maximum entropy formalism and Euclidean path integral evaluation of partition function, it is argued that in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. K. Lau

A modified (Anti-)de Sitter Schwarzschild black hole solution is presented in the framework of rainbow gravity with a cosmological constant. Its thermodynamical properties are investigated. In general the temperature of modified black holes…

General Relativity and Quantum Cosmology · Physics 2009-03-27 Huarun Li , Yi Ling , Xin Han