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We describe 4D evaporating black holes as quantum field configurations by solving the semi-classical Einstein equation $G_{\mu\nu}=8\pi G \langle \psi|T_{\mu\nu}|\psi \rangle$ and quantum matter fields in a self-consistent manner. As the…

High Energy Physics - Theory · Physics 2020-06-05 Hikaru Kawai , Yuki Yokokura

We study analytically the spacetime geometry of the black-hole formation and evaporation. As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum…

High Energy Physics - Theory · Physics 2020-08-05 Pei-Ming Ho , Yoshinori Matsuo , Yuki Yokokura

Hawking's black hole information puzzle highlights the incompatibility between our present understanding of gravity and quantum physics. However, Hawking's prediction of black-hole evaporation is at a semiclassical level. One therefore…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod

First, the relation between black holes and limitations on information of other systems is developed. After reviewing the relation of entropy to information, we derive the entropy bound, review its applications to cosmology and its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

The mechanisms which give rise to Hawking radiation are revealed by analyzing in detail pair production in the presence of horizons. In preparation for the black hole problem, three preparatory problems are dwelt with at length: pair…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert Brout , Serge Massar , Renaud Parentani , Philippe Spindel

In this paper we review various models of curvature singularity free black holes. In the first part of the review we describe semi-classical solutions of the Einstein equations which, however, contains a "quantum" input through the matter…

High Energy Physics - Theory · Physics 2017-06-13 Euro Spallucci , Anais Smailagic

The tunneling approach for entropy generation in quantum gravity is applied to black holes. The area entropy is recovered and shown to count only a tiny fraction of the black hole degeneracy. The latter stems from the extension of the wave…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A. Casher , F. Englert

Many relativists have been long convinced that black hole evaporation leads to information loss or remnants. String theorists have however not been too worried about the issue, largely due to a belief that the Hawking argument for…

High Energy Physics - Theory · Physics 2015-06-03 Samir D. Mathur

The question of whether information is lost in black holes is investigated using Euclidean path integrals. The formation and evaporation of black holes is regarded as a scattering problem with all measurements being made at infinity. This…

High Energy Physics - Theory · Physics 2008-11-26 S. W. Hawking

We consider the thermodynamic properties of the constant curvature black hole solution recently found by Banados. We show that it is possible to compute the entropy and the quasilocal thermodynamics of the spacetime using the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Jolien D. E. Creighton , Robert B. Mann

These lecture notes are an elementary and pedagogical introduction to the black hole evaporation, based on a lecture given by the author at the Ninth Modave Summer School in Mathematical Physics and are intended for PhD students. First,…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Pierre-Henry Lambert

We present a unitary phenomenological model for black hole evaporation based on the analogy of the laboratory process of spontaneous parametric down conversion (SPDC) when the black hole (pump) is allowed to deplete to zero mass. The model…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Paul M. Alsing

We investigate the inner structure of an evaporating charged black hole, within the context of semiclassical dilaton gravity in two dimensions. The matter fields are charged, allowing the evaporation of both the mass and charge of the black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amos Ori

Astrophysical black hole candidates, although long thought to have a horizon, could be horizonless ultra-compact objects. This intriguing possibility is motivated by the black hole information paradox and a plausible fundamental connection…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Bob Holdom , Jing Ren

In this Chapter we would like to review a "~phenomenological~" approach taking into account the most fundamental feature of string theory or, more in general, of quantum gravity, whatever its origin, which is the existence of a minimal…

General Relativity and Quantum Cosmology · Physics 2017-05-26 Euro Spallucci , Anais Smailagic

Black holes in $d < 3$ spatial dimensions are studied from the perspective of the corpuscular model of gravitation, in which black holes are described as Bose-Einstein condensates of (virtual soft) gravitons. In particular, since the energy…

General Relativity and Quantum Cosmology · Physics 2019-09-04 R. Casadio , A. Giusti , J. Mureika

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole under the stochastic gravity program. The central object of interest is the noise…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

One-loop renormalised quantum effective action for gravity contains quadratic in curvature terms. We have found an approximate analytic black hole solution in quadratic gravity by keeping only the radial spherically symmetric fluctuations…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Yunho Kim , Archil Kobakhidze

We investigate a recently proposed model for a full quantum description of two-dimensional black hole evaporation, in which a reflecting boundary condition is imposed in the strong coupling region. It is shown that in this model each…

High Energy Physics - Theory · Physics 2009-10-22 Kareljan Schoutens , Erik Verlinde , Herman Verlinde

We investigate the impact of oscillations of a black-hole mass around its average value on the three-dimensional black hole geometry. Drawing on a classical framework that conceptualizes fluctuations near an event horizon as mass…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Hyewon Han , Bogeun Gwak