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The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

We discuss the identity of black hole entropy and show that the first law of black hole thermodynamics, in the case of a Schwarzschild black hole, can be derived from Landauer's principle by assuming that the black hole is one of the most…

High Energy Physics - Theory · Physics 2014-11-18 Hyeong-Chan Kim , Jae-Weon Lee , Jungjai Lee

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

We study the entropy of Schwarzschild black holes on DGP brane. The radius of event horizon on DGP brane is obtained by a numerical method. It is smaller than that of Einstein gravity in the conventional branch, and is larger in the…

General Relativity and Quantum Cosmology · Physics 2008-10-21 Chang-Young Ee , Daeho Lee , Myungseok Yoon

Following Barrow's idea of fractal black hole horizon, we re-derive black hole entropy of static spherically symmetric black holes. When a black hole absorbs matter its horizon area will increase. Given the spherically fractal structure, we…

General Relativity and Quantum Cosmology · Physics 2022-05-27 Li-Hua Wang , Meng-Sen Ma

In the paper it is demonstrated that the Schwarzschild black-hole quantum entropy computed within the scope of the Generalized Uncertainty Principle has a nonzero minimum under the assumption that for a radius of the black hole the lower…

General Physics · Physics 2013-03-07 Ya. V. Dydyshka , A. E. Shalyt-Margolin

The horizon (the surface) of a black hole is a null surface, defined by those hypothetical "outgoing" light rays that just hover under the influence of the strong gravity at the surface. Because the light rays are orthogonal to the spatial…

General Relativity and Quantum Cosmology · Physics 2010-01-04 Brandon S. DiNunno , Richard A. Matzner

We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach,…

High Energy Physics - Theory · Physics 2021-05-07 David Kubiznak , Robert B. Mann , Mae Teo

The Schwarzschild black hole metric with mass $M$ has the limit of the vanishing mass when one get the Minkowski space. We study behavior of the entanglement entropy by using the island formula and the limit of the vanishing black hole…

High Energy Physics - Theory · Physics 2023-08-10 Daniil Stepanenko , Igor Volovich

Using the brick wall method we compute the statistical entropy of a scalar field in a nontrivial background, in two different cases. These background are generated by four and five dimensional black holes with four and three U(1) charges…

High Energy Physics - Theory · Physics 2009-10-31 Elcio Abdalla , L. Alejandro Correa-Borbonet

We study the three dimensional Schwarzschild-de Sitter (SdS$_3$) black hole which corresponds essentially to a conical defect. We compute the mass of the SdS$_3$ black hole from the correct definition of the mass in asymptotically de Sitter…

High Energy Physics - Theory · Physics 2009-11-07 Y. S. Myung

We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , J. Gegenberg , R. B. Mann

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosa Doran , Francisco S. N. Lobo , Paulo Crawford

For general finite temperature different from the Hawking one there appears a well known conical singularity in the Euclidean classical solution of gravitational equations. The method of regularizing the cone by regular surface is used to…

High Energy Physics - Theory · Physics 2010-11-01 S. N. Solodukhin

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

In general, a finite metric function at the center of a black hole describes a non-singular spacetime but an infinite metric at the center gives a singular spacetime, where the former is associated with convergent Ricci and Kretschmann…

General Relativity and Quantum Cosmology · Physics 2022-09-19 Yan-Gang Miao , Hao Yang

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of…

High Energy Physics - Theory · Physics 2018-07-25 Ruth Gregory , David Kastor , Jennie Traschen

We study the excitations of a massive Schwarzschild black hole of mass M resulting from the capture of infalling matter described by a massless scalar field. The near-horizon dynamics of this system is governed by a Hamiltonian which is…

High Energy Physics - Theory · Physics 2008-11-26 Kumar S. Gupta , Siddhartha Sen

Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the…

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

Even though, classically, a black holes is gravitational object, it can be treated as a thermodynamic object when quantum effect is taken into account. It is found that by using Gibbs-Boltzmann entropy, thermodynamic system associated…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Thanawat Anusonthi , Pitayuth Wongjun , Ratchaphat Nakarachinda