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We study the Page curve for asymptotically flat eternal Schwarzschild black holes in four and higher spacetime dimensions. Before the Page time, the entanglement entropy grows linearly in time. After the Page time, the entanglement entropy…

High Energy Physics - Theory · Physics 2020-07-15 Koji Hashimoto , Norihiro Iizuka , Yoshinori Matsuo

Through direct thermodynamic calculations we have shown that different classical entropies of two-dimensional extreme black holes appear due to two different treatments, namely Hawking's treatment and Zaslavskii's treatment. Geometrical and…

General Relativity and Quantum Cosmology · Physics 2010-11-22 Bin Wang , Ru-Keng Su

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

Thermodynamics of extended gravity static spherically symmetric black hole solutions is investigated. The energy issue is discussed making use of the derivation of Clausius relation from equations of motion, evaluating the black hole…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Guido Cognola , Lorenzo Sebastiani , Sergio Zerbini

We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration…

High Energy Physics - Theory · Physics 2018-07-06 Soonkeon Nam , Jong-Dae Park

In gravitational thermodynamics, the origin of a black hole's entropy is the topology of its instanton or constrained instanton. We prove that the entropy of an arbitrary nonrotating black hole is one quarter the sum of the products of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhong Chao Wu

We show that for generic stationary spacetime and specific Killing fields, Wald's approach for quasi-local energy could be generalized to the first order formalism straightforwardly without introducing the Lorentz-Lie derivative. Via this…

High Energy Physics - Theory · Physics 2021-04-06 Cheng-Hao Wei , Bo Ning

We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das

Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld non-linear electrodynamics. It is shown that some of these solutions present a double peak behavior of the temperature as a function of the horizon…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Matias Aiello , Rafael Ferraro , Gaston Giribet

The numerical investigation of Bondi-Hoyle accretion onto a moving black hole has a long history, both in Newtonian and in general-relativistic physics. By performing new two-dimensional and general-relativistic simulations onto a rotating…

High Energy Astrophysical Phenomena · Physics 2015-03-17 Orhan Donmez , Olindo Zanotti , Luciano Rezzolla

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

In this paper, we use the holographic principle to obtain a modified metric of black holes that reproduces the exponentially corrected entropy. The exponential correction of the black hole entropy comes from non-perturbative corrections. It…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Behnam Pourhassan , Hoda Farahani , Farideh Kazemian , İzzet Sakallı , Sudhaker Upadhyay , Dharm Veer Singh

We consider a general, classical theory of gravity in $n$ dimensions, arising from a diffeomorphism invariant Lagrangian. In any such theory, to each vector field, $\xi^a$, on spacetime one can associate a local symmetry and, hence, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert M. Wald

We consider unitary and weakly coupled theories of gravity that extend Einstein gravity and reduce to it asymptotically at large distances. Our discussion is restricted to such theories that, similarly to Einstein gravity, contain black…

High Energy Physics - Theory · Physics 2014-11-20 Ram Brustein , A. J. M. Medved

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincar\'e gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Milutin Blagojević , Branislav Cvetković

We show that counting different configurations that give rise to black hole entropy in loop quantum gravity is related to partitions in number theory.

General Relativity and Quantum Cosmology · Physics 2011-04-07 J. Manuel Garcia-Islas

We develop a new method for calculation of quasi-normal modes of black holes, when the effective potential, which governs black hole perturbations, is known only numerically in some region near the black hole. This method can be applied to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya , A. Zhidenko

We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as…

High Energy Physics - Theory · Physics 2007-05-23 C. Teitelboim

Christodoulou and Rovelli have shown that the maximal interior volume of a Schwarzschild black hole linearly grows with time. Recently, their conclusion has been extended to the Reissner{-}Nordstr$\ddot{\text{o}}$m and Kerr black holes.…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Xin-Yang Wang , Jie Jiang , Wen-Biao Liu