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In this report, a general method to extract thermodynamic quantities from solutions of the Einstein equation is developed. In 1994, Wald established that the entropy of a black hole could be identified as a Noether charge associated with a…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Yoshimasa Kurihara

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris

The entropy of extremal black holes (BHs) is obtained using a continuity argument from extremal quasiblack holes (QBHs). It is shown that there exists a smooth limiting transition in which (i) the system boundary approaches the extremal…

General Relativity and Quantum Cosmology · Physics 2011-05-25 José P. S. Lemos , Oleg B. Zaslavskii

We criticize and generalize some properties of Noether charges presented in a paper by V. Iyer and R. M. Wald and their application to entropy of black holes. The first law of black holes thermodynamics is proven for any gauge-natural field…

High Energy Physics - Theory · Physics 2009-10-31 Lorenzo Fatibene , Marco Ferraris , Mauro Francaviglia , Marco Raiteri

An anisotropic fluid with positive energy density and negative pressures is proposed in the black hole interior. The gravitational field is constant everywhere inside and is given by the horizon surface gravity. Even though the geometry is…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Hristu Culetu

Adopting the thin-layer improved brick-wall method, we investigate the thermodynamics of a black hole embedded in a spatially flat Friedmann-Robertson-Walker universe. We calculate the temperature and the entropy at every apparent horizon…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Khireddine Nouicer

Criticality represents a specific point in the parameter space of a higher-derivative gravity theory, where the linearized field equations become degenerate. In 4D Critical Gravity, the Lagrangian contains a Weyl-squared term, which does…

High Energy Physics - Theory · Physics 2018-11-21 Giorgos Anastasiou , Rodrigo Olea , David Rivera-Betancour

The mechanism of generation of the Bekenstein-Hawking entropy $S^{BH}$ of a black hole in the Sakharov's induced gravity is proposed. It is suggested that the "physical" degrees of freedom, which explain the entropy $S^{BH}$, form only a…

High Energy Physics - Theory · Physics 2011-09-09 V. P. Frolov , D. V. Fursaev

Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner-Nordstr\"om (RN) black hole in the limit of small electric charge,…

High Energy Physics - Theory · Physics 2023-05-23 Ruben Campos Delgado

The entropy of the Reissner-N\"{o}rdstrom black hole is studied within the context of a brane-world scenario. Such a black hole is a solution of the Einstein field equations on the brane, possessing a tidal charge which is a reflection of…

General Relativity and Quantum Cosmology · Physics 2014-11-21 A. Sefiedgar , H. R. Sepangi

In a series of recent works the relevance of gravitational boundary degrees of freedom and their dynamics in gravity quantization and black hole information has been explored. In this work we further the progress by keenly focusing on the…

High Energy Physics - Theory · Physics 2023-08-02 I. Y. Park

We show that the entropy of Schwarzschild black holes in any dimension can be described by a gas of free string bits at the stretched horizon. The number of string bits is equal to the black hole entropy and energy dependent. For an…

High Energy Physics - Theory · Physics 2007-05-23 Edi Halyo

Entropy for two dimensional extremal black holes is computed explicitly in a finite-space formulation of the black hole thermodynamics and is shown to be zero {\it locally}. Our results are in conformity with the recent one by Hawking et al…

High Energy Physics - Theory · Physics 2009-10-28 Alok Kumar , Koushik Ray

Entropy of the Kerr-Newman black hole is calculated via the brick wall method with maintaining careful attention to the contribution of superradiant scalar modes. It turns out that the nonsuperradinat and superradiant modes simultaneously…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Jeongwon Ho , Won Tae Kim , Young-Jai Park , Hyeonjoon Shin

The canonical approach to black hole entropy in Poincar\'e gauge theory without matter is extended to include Maxwell field as a matter source. The new formalism is used to calculate asymptotic charges and entropy of Kerr--Newmann--AdS…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Milutin Blagojević , Branislav Cvetković

Membrane method is used to compute the entropy of the NUT-Kerr-Newman black holes. It is found that even though the Euler characteristic is greater than two, the Bekenstein-Hawking area law is still satisfied. The formula $S=\chi A/8$…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Xian-Hui Ge , You-Gen Shen

We formulate the Rindler space description of rotating black holes in string theories. We argue that the comoving frame is the natural frame for studying thermodynamics of rotating black holes and statistical analysis of rotating black…

High Energy Physics - Theory · Physics 2009-10-30 Donam Youm

It is shown that in general the energy ${\cal E}$ and the Hamiltonian ${\cal H}$ of matter fields on the black hole exterior play different roles. ${\cal H}$ is a generator of the time evolution along the Killing time while ${\cal E}$…

High Energy Physics - Theory · Physics 2009-10-31 D. V. Fursaev

Pure thermodynamical considerations to describe the entropic evolution of the universe seem to violate the Second Law of Thermodynamics. This suggests that the gravitational field itself has entropy. In this paper we expand recent work done…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Gustavo E. Romero , Romain Thomas , Daniela Pérez

The energy extraction from a Einstein-Born-Infeld (EBI) black hole is addressed determining the extension of the ergosphere as well as the extractable energy using the irreducible mass concept. These results are compared with the…

General Relativity and Quantum Cosmology · Physics 2016-11-28 Nora Breton