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In these lectures we introduce some of the principles and techniques that are relevant for the determination of the entropy of extremal black holes by either string theory or supergravity. We consider such black holes with N=2 and N=4…

高能物理 - 理论 · 物理学 2007-05-23 Bernard de Wit

Shape dynamics is classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime diffeomorphism invariance, shape dynamics takes…

广义相对论与量子宇宙学 · 物理学 2016-09-23 Gabriel Herczeg , Vasudev Shyam

We propose a novel solution for the endpoint of gravitational collapse, in which spacetime ends (and is orbifolded) at a microscopic distance from black hole event horizons. This model is motivated by the emergence of singular event…

高能物理 - 理论 · 物理学 2013-12-03 Mehdi Saravani , Niayesh Afshordi , Robert B. Mann

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

广义相对论与量子宇宙学 · 物理学 2015-05-13 S. Carlip

A dynamical theory of traversable wormholes is detailed in spherical symmetry. Generically a wormhole consists of a tunnel of trapped surfaces between two mouths, defined as temporal outer trapping horizons with opposite senses, in mutual…

广义相对论与量子宇宙学 · 物理学 2009-06-30 Sean A. Hayward

A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the…

高能物理 - 理论 · 物理学 2009-10-22 Ted Jacobson , Robert C. Myers

Using a unified approach we study the entropy of extremal black holes through the entropy of an electrically charged thin shell. We encounter three cases in which a shell can be taken to its own gravitational or horizon radius and become an…

高能物理 - 理论 · 物理学 2016-05-04 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

The entropy of a BTZ black hole in the presence of gravitational Chern-Simons terms has previously been analyzed using Euclidean action formalism. In this paper we treat the BTZ solution as a two dimensional black hole by regarding the…

高能物理 - 理论 · 物理学 2009-11-11 Bindusar Sahoo , Ashoke Sen

We construct an entropy current and establish a local version of the classical second law of thermodynamics for dynamical black holes in Chern-Simons (CS) theories of gravity. We work in a chosen set of Gaussian null coordinates and assume…

高能物理 - 理论 · 物理学 2023-11-23 Ishan Deo , Prateksh Dhivakar , Nilay Kundu

It is shown that in the extreme limit with a zero surface gravity but nonzero local temperature the limiting metric of a generic static black hole is determined by a metric induced on a horizon and one function of two coordinates,…

广义相对论与量子宇宙学 · 物理学 2014-11-17 O. B. Zaslavskii

Black holes are thermodynamic objects, but despite recent progress, the ultimate statistical mechanical origin of black hole temperature and entropy remains mysterious. Here I summarize an approach in which the entropy is viewed as arising…

广义相对论与量子宇宙学 · 物理学 2010-04-28 Steven Carlip

This is an introductory, up-to-date review of the essentials of black hole thermodynamics. The main topics surveyed are: (i) the four laws of thermodynamics as applied to a black hole horizon, and the current status of their proofs; (ii)…

广义相对论与量子宇宙学 · 物理学 2018-07-12 Aron C. Wall

The thermodynamical one-loop entropy $S^{TD}$ of a two-dimensional black hole in thermal equilibrium with the massless quantum gas is calculated. It is shown that $S^{TD}$ includes the Bekenstein-Hawking entropy, evaluated for the quantum…

高能物理 - 理论 · 物理学 2009-10-30 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

The thermodynamic and euclidean functional integral approaches to black hole entropy are discussed. The existence of some freedom in the definition of the entropy is pointed out and the possibility of a departure from the semiclassical…

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. Mitra

Black hole physics currently lacks a fully coherent understanding of the black hole mass (density), entropy, and interior (non-)singularity. These concepts are related to the black hole radius, area (of the horizon), and volume (within the…

广义相对论与量子宇宙学 · 物理学 2026-05-20 Arno Keppens , Lester Kurvers

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

广义相对论与量子宇宙学 · 物理学 2009-11-11 J. P. Badiali

An action principle for spacetimes with the topology of an Euclidean black-hole is given. The gravitational field is described by the ordinary volume degrees of freedom plus additional surface fields at the horizon. The surface degrees of…

高能物理 - 理论 · 物理学 2009-12-30 Claudio Teitelboim

We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Amit Ghosh , Alejandro Perez

We investigate whether the new horizon first law proposed recently still work in $f(R)$ theory. We identify the entropy and the energy of black hole as quantities proportional to the corresponding value of integration, supported by the fact…

广义相对论与量子宇宙学 · 物理学 2018-09-05 Yaoguang Zheng , Rong-Jia Yang

We review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds. A brief…

广义相对论与量子宇宙学 · 物理学 2016-04-27 Robert M. Wald