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General Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but vanishingly small cross sections, which do not emit nor…

High Energy Physics - Theory · Physics 2015-06-15 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

The goal of this paper is to prove an area law for the entropy of dynamical, spherically symmetric black holes from the relative entropy between coherent states of the quantum matter, generalising the results by Hollands and Ishibashi on…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Edoardo D'Angelo

By using suitably improved surface integrals, we give a unified geometric derivation of the generalized Smarr relation for higher dimensional Kerr black holes which is valid both in flat and in anti-de Sitter backgrounds. The improvement of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 G. Barnich , G. Compere

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald's formalism and a new definition of scalar charge as an integral over a 2-surface…

High Energy Physics - Theory · Physics 2023-06-07 Romina Ballesteros , Carmen Gómez-Fayrén , Tomás Ortín , Matteo Zatti

Black hole thermodynamics suggests that a black hole should have an entropy given by a quarter of the area of its horizon. Earlier calculations in U(1) loop quantum gravity have led to a dominant term proportional to the area, but there was…

General Relativity and Quantum Cosmology · Physics 2012-05-17 P. Mitra

As early as 1902, Gibbs pointed out that systems whose partition function diverges, e.g. gravitation, lie outside the validity of the Boltzmann-Gibbs (BG) theory. Consistently, since the pioneering Bekenstein-Hawking results, physically…

Statistical Mechanics · Physics 2013-07-08 Constantino Tsallis , Leonardo J. L. Cirto

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics.…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Kostyantyn Ropotenko

Motivated by the recent work about a new physical interpretation of quasinormal modes by Maggiore, we investigate the quantization of near-extremal Schwarzschild-de Sitter black holes in the four dimensional spacetime. Following…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-03 Wenbo Li , Lixin Xu , Jianbo Lu

Using non-extensive statistical mechanics, the Bekenstein-Hawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the Barbero-Immirzi parameter$(\gamma)$. The arbitrariness…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Abhishek Majhi

We consider the class of metrics that can be obtained from those of nonextreme black holes by limiting transitions to the extreme state such that the near-horizon geometry expands into a whole manifold. These metrics include, in particular,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. B. Zaslavskii

By using the scattering of a scalar field, we discuss the thermodynamics and overcharging problem in a 4D Gauss-Bonnet AdS black hole in both the normal phase space and extended phase space. In the normal phase space, where the cosmological…

General Relativity and Quantum Cosmology · Physics 2020-11-03 Benrong Mu , Jing Liang , Xiaobo Guo

Jacob Bekenstein's identification of black hole event horizon area with entropy proved to be a landmark in theoretical physics. In this paper we trace the subsequent development of the resulting generalized second law of thermodynamics…

Astrophysics · Physics 2014-10-13 P. C. W. Davies , Tamara M. Davis

With the help of the Bohr--Sommerfeld quantization rule, the area spectrum of a charged, spherically symmetric spacetime is obtained by studying an adiabatic invariant action variable. The period of the Einstein-Maxwell system, which is…

General Relativity and Quantum Cosmology · Physics 2012-04-23 Xiao-Xiong Zeng , Wen-Biao Liu

Quantum mechanics for matter fields moving in an evaporating black hole spacetime is formulated in fully four-dimensional form according to the principles of generalized quantum theory. The resulting quantum theory cannot be expressed in a…

General Relativity and Quantum Cosmology · Physics 2008-02-03 James B. Hartle

We re-examine the idea that the origin of black-hole entropy may lie in the entanglement of quantum fields between inside and outside of the horizon. Motivated by the observation that certain modes of gravitational fluctuations in a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Saurya Das , S. Shankaranarayanan , Sourav Sur

Here we apply the Generalized Second Law of Thermodynamics (GSL) to black holes accreting and emitting in the present Universe and derive upper limits on the variation in the gravitational constant G. The limits depend on how the…

Astrophysics · Physics 2007-06-21 Jane H MacGibbon

Recently, Chandrasekaran, Penington and Witten (CPW) have shown that the generalized entropy of the Schwarzschild black hole at the bifurcation surface equals the entropy of an extended von Neumann algebra of quantum observables in the…

High Energy Physics - Theory · Physics 2023-09-26 Mohd Ali , Vardarajan Suneeta

We have shown that the dynamics of the scalar field $\phi (x)= ``G^{-1}(x)"$ in Brans-Dicke theories of gravity makes the surface area of the black hole horizon {\it oscillatory} during its dynamical evolution. It explicitly explains why…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gungwon Kang

In all 2d theories of gravity a conservation law connects the (space-time dependent) mass aspect function at all times and all radii with an integral of the matter fields. It depends on an arbitrary constant which may be interpreted as…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Grumiller , W. Kummer
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