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An introduction to generalized thermodynamics of quantum black holes, in the one-loop approximation, is given. The material is aimed at graduate students. The topics include: quantum evaporation of black holes, Euclidean formulation of…

General Relativity and Quantum Cosmology · Physics 2022-10-13 Dmitri V. Fursaev

We investigate the meaning of the entropy carried away by Hawking radiations from a black hole. We propose that the entropy for a black hole measures the uncertainty of the information about the black hole forming matter's precollapsed…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan , Li You

While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

Starting from a quantization relation for primordial extremal black holes with electric and magnetic charges, it is shown that their entropy is quantized. Furthermore the energy levels spacing for such black holes is derived as a function…

High Energy Physics - Theory · Physics 2015-06-15 Gerardo Cristofano , Giuseppe Maiella , Cosimo Stornaiolo

In this note we consider a stringy description of black hole horizon. We start with a nonlinear sigma model defined on a two dimensional Euclidean surface with background Rindler metric. By solving the field equations, we show that to the…

High Energy Physics - Theory · Physics 2009-10-28 Ichiro Oda

The statistical-mechanical origin of the Bekenstein-Hawking entropy $S^{BH}$ in the induced gravity is discussed. In the framework of the induced gravity models the Einstein action arises as the low energy limit of the effective action of…

High Energy Physics - Theory · Physics 2009-10-30 V. P. Frolov , D. V. Fursaev , A. I. Zelnikov

Simple arguments related to the entropy of black holes strongly constrain the spectrum of the area operator for a Schwarzschild black hole in loop quantum gravity. In particular, this spectrum is fixed completely by the assumption that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 I. B. Khriplovich

This thesis is devoted to trying to find a microscopic quantum description of black holes. We consider black holes in string theory which is a quantum theory of gravity. We find that the ``area law'' black hole entropy for extremal and…

High Energy Physics - Theory · Physics 2008-02-03 Juan M. Maldacena

Loop quantum gravity can account for the Bekenstein-Hawking entropy of a black hole provided a free parameter is chosen appropriately. Recently, it was proposed that a new choice of the Immirzi parameter could predict both black hole…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Alejandro Corichi

In loop quantum gravity, the quantum geometry of a black hole horizon consist of discrete non-perturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these…

General Relativity and Quantum Cosmology · Physics 2016-11-07 Abhishek Majhi

About thirty years ago, Bekenstein and Hawking introduced three basic concepts relating to black hole, namely, the "area entropy", "gravitation temperature" and "thermal radiation". The author analyzes these concepts systematically and…

General Physics · Physics 2007-05-23 Xinyong Fu

We develop the idea that, in quantum gravity where the horizon fluctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments fix the spacing of the lines, which should be broad but unblended.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jacob D. Bekenstein , V. F. Mukhanov

The entropy of a Schwarzschild black hole, as computed via the semiclassical Euclidean path integral in a stationary phase approximation, is determined not by the on-shell value of the action (which vanishes), but by the…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Jens Boos

The physical interpretation of black hole's quasinormal modes is fundamental for realizing unitary quantum gravity theory as black holes are considered theoretical laboratories for testing models of such an ultimate theory and their…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Christian Corda

The Bekenstein-Hawking formula relates the black hole entropy and horizon area. Semiclassical entropy computations have relied on an action principle that fixes a gauge dependent and classically unobservable boundary three-geometry and…

High Energy Physics - Theory · Physics 2018-11-28 Thomas C. Bachlechner

We trace the origin of the black hole entropy S replacing a black hole by a quasiblack hole. Let the boundary of a static body approach its own gravitational radius, in such a way that a quasihorizon forms. We show that if the body is…

General Relativity and Quantum Cosmology · Physics 2010-04-06 José P. S. Lemos , Oleg B. Zaslavskii

Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhao Ren , Zhao Hai-Xia , Hu Shuang-Qi

The existence of a minimal length, predicted by different theories of quantum gravity, can be phenomenologically described in terms of a generalized uncertainty principle. We consider the impact of this quantum gravity motivated effect onto…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Ana Alonso-Serrano , Mariusz P. Dabrowski , Hussain Gohar

Taking seriously the interpretation of black hole entropy as the logarithm of the number of microstates, we argue that thermal gravitons may undergo a phase transition to a kind of black hole condensate. The phase transition proceeds via…

High Energy Physics - Theory · Physics 2009-11-11 Stephen D. H. Hsu , Brian M. Murray

Quantum black holes have been studied extensively in quantum gravity and string theory, using various semiclassical or background dependent approaches. We explore the possibility of studying black holes in the full non-perturbative quantum…

General Relativity and Quantum Cosmology · Physics 2010-02-22 Kirill Krasnov , Carlo Rovelli