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We propose a quantum description of black holes. The degrees of freedom to be quantized are identified with the microscopic degrees of freedom of the horizon, and their dynamics is governed by the action of the relatistic bosonic membrane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

Different approaches to quantum gravity conclude that black holes may possess an inner horizon, in addition to the (quantum corrected) outer `Schwarzschild' horizon. In this paper we assume the existence of this inner horizon and explain…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Ramon Torres

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

High Energy Physics - Theory · Physics 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

The action and the thermodynamics of a rotating black hole in the presence of a positive cosmological constant are analyzed. Since there is no spatial infinity, one must bring in, instead, a platform where the parameters characterizing the…

High Energy Physics - Theory · Physics 2009-11-10 Andres Gomberoff , Claudio Teitelboim

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We focus on quantization of the metric of a black hole restricted to the Killing horizon with universal radius $r_0$. After imposing spherical symmetry and after restriction to the Killing horizon, the metric is quantized employing the…

General Relativity and Quantum Cosmology · Physics 2011-04-07 V. Moretti , N. Pinamonti

We study a spherical black hole surrounded by a hot self-gravitating thin shell in the canonical ensemble, i.e., a black hole and a hot shell inside a heat reservoir acting as a boundary with its area and temperature fixed. To work out the…

High Energy Physics - Theory · Physics 2023-11-07 José P. S. Lemos , O. B. Zaslavskii

Although we know that black holes are characterized by a temperature and an entropy, we do not yet have a satisfactory microscopic ``statistical mechanical'' explanation for black hole thermodynamics. I describe a new approach that…

General Relativity and Quantum Cosmology · Physics 2016-01-27 S. Carlip

We give an approach for studying quantum gravity effects on black hole thermodynamics. This combines a quantum framework for gravitational collapse with quasi-local definitions of energy and surface gravity. Our arguments suggest that (i)…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Viqar Husain , R. B. Mann

We test on the 2+1 dimensional black hole the quantization method that we have previously proposed in four dimensions. While in the latter case the horizon dynamics is described, at the effective level, by the action of a relativistic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Maggiore

We discuss some of the drawbacks of using event horizons to define black holes and suggest ways in which black holes can be described without event horizons, using trapping horizons. We show that these trapping horizons give rise to…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Alex B. Nielsen

A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Kevin Falls , Daniel F. Litim

Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri Fursaev

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

This study examines the gravitational and thermodynamic properties of static, spherically symmetric black holes within cosmic voids -- vast underdense regions of the universe. By deriving a novel solution based on a universal density…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Francisco Bento Lustosa , Milko Estrada , Marcony S. Cunha , Celio R. Muniz

Black hole membrane paradigm suggests to consider the black hole horizon as a fluid membrane. The membrane has a particular energy-momentum tensor which characterizes the interactions with the falling matter. In this paper, we show that we…

High Energy Physics - Theory · Physics 2022-11-03 Jingbo Wang

The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining properties. First, there exists a static spherically symmetric…

High Energy Physics - Theory · Physics 2018-09-19 Clement Berthiere , Debajyoti Sarkar , Sergey N. Solodukhin

This thesis addresses some classical and semi-classical aspects of black holes using an effective membrane representation of the event horizon. The classical "membrane paradigm" equations are derived from an underlying action formulation,…

High Energy Physics - Theory · Physics 2007-05-23 Maulik K. Parikh

We study the thermodynamics of a shell of self-gravitating radiation, bounded by two spherical surfaces. This system provides a consistent model for a gravitating thermal reservoir for different solutions to vacuum Einstein equations in the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Demetrios Kotopoulis , Charis Anastopoulos
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