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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

The role of torsion in quantum three-dimensional gravity is investigated by studying the partition function of the Euclidean theory in Riemann-Cartan spacetime. The entropy of the black hole with torsion is found to differ from the standard…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Blagojevic , B. Cvetkovic

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

In this paper we study thermodynamics of black body radiation in the presence of quantum gravitational effects through a Generalized Uncertainty Principle that admits both a minimal measurable length and a maximal momentum. We focus on…

General Physics · Physics 2013-10-17 Homa Shababi

We discuss the possible role of quantum horizon fluctuations on black hole radiance, especially whether they can invalidate Hawking's analysis based upon transplanckian modes. We are particularly concerned with ``enhanced'' fluctuations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. T. Thompson , L. H. Ford

In this work, we investigate black hole (BH) physics in the context of quantum corrections. These quantum corrections were introduced recently by replacing classical geodesics with quantal (Bohmian) trajectories and hence form a quantum…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Ahmed Farag Ali , Mohammed M. Khalil

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

By analysing the infinite dimensional midisuperspace of spherically symmetric dust universes, and aply it to collapsing dust stars, one finds that the general quantum state is a bound state. This leads to discrete spectrum. In the case of a…

High Energy Physics - Theory · Physics 2007-05-23 Yoav Peleg

While there exist various candidates, the identification of dark matter remains unresolved. Recently it was argued that the generalized uncertainty principle (GUP) may prevent a black hole from evaporating completely, and as a result there…

Astrophysics · Physics 2009-11-10 Pisin Chen

The thermodynamic properties of dark energy-dominated universe in the presence of a black hole are investigated in the general case of a varying equation-of-state-parameter $w(a)$. We show that all the thermodynamics quantities are regular…

General Relativity and Quantum Cosmology · Physics 2015-03-14 Khireddine Nouicer

Based on the universality of the entropy-area relation of a black hole, and the fact that the generalized uncertainty principle (GUP) adds a logarithmic correction term to the entropy in accordance with most approaches to quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2015-07-29 Mir Faizal , Mohammed M. Khalil

These notes aim to provide an introduction to the basics of black hole thermodynamics. After explaining Bekenstein's original proposal that black holes have entropy, we discuss Hawking's discovery of black hole radiation, its analog for…

High Energy Physics - Theory · Physics 2025-05-20 Edward Witten

Bekenstein has put forward the idea that, in a quantum theory of gravity, a black hole should have a discrete energy spectrum with concomitant discrete line emission. The quantized black-hole radiation spectrum is expected to be very…

General Relativity and Quantum Cosmology · Physics 2015-06-09 Shahar Hod

We study the Schwarzschild and Reissner-Nordstr\"{o}m black hole thermodynamics using the simplest form of the generalized uncertainty principle (GUP) proposed in the literature. The expressions for the mass-temperature relation, heat…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Sunandan Gangopadhyay , Abhijit Dutta , Anirban Saha

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 study thermodynamic quantities and the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation which is extended in a symmetric way with respect to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wontae Kim , Edwin J. Son , Myungseok Yoon

The formation and growth of black holes can strongly influence the distribution of dark matter around them. I discuss here the different types of dark matter overdensities around black holes, including dark matter cusps, spikes, mounds,…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-18 Gianfranco Bertone

The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It provides a natural transition between the expressions for the Compton wavelength below the Planck…

General Relativity and Quantum Cosmology · Physics 2011-07-05 Bernard Carr , Leonardo Modesto , Isabeau Prémont-Schwarz

The phenomenon of black hole thermodynamics raises several deep issues which any proper theory of quantum gravity must confront: to what extent does the inclusion of the back-reaction alter the thermal character of the radiation, how can…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Per Kraus

It was recently observed in arXiv:2304.07320 for thermal Kerr-Newman black holes in 4d flat space that one can rewrite the conventional thermodynamics on the inner and outer horizons in terms of left- and right-moving variables with a…

High Energy Physics - Theory · Physics 2024-02-20 Kiril Hristov