Thermodynamics of Noncommutative Quantum Kerr Black Holes

The thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, the equations of state and thermodynamic response functions are explicitly given, and the effect of noncommutativity and quantum c...

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Main Authors:	Lenin F. Escamilla-Herrera, Eri A. Mena-Barboza, José Torres-Arenas
Format:	Article
Language:	English
Published:	MDPI AG 2016-11-01
Series:	Entropy
Subjects:	thermodynamics black hole thermodynamics noncommutativity
Online Access:	http://www.mdpi.com/1099-4300/18/11/406

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spelling	doaj-931f0c618ec746dd9975d73477f476552020-11-24T21:00:35ZengMDPI AGEntropy1099-43002016-11-01181140610.3390/e18110406e18110406Thermodynamics of Noncommutative Quantum Kerr Black HolesLenin F. Escamilla-Herrera0Eri A. Mena-Barboza1José Torres-Arenas2Centro Universitario de la Ciénega, Universidad de Guadalajara, Ocotlán Jalisco 47820, MexicoCentro Universitario de la Ciénega, Universidad de Guadalajara, Ocotlán Jalisco 47820, MexicoDivisión de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, León Guanajuato 37150, MexicoThe thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, the equations of state and thermodynamic response functions are explicitly given, and the effect of noncommutativity and quantum correction is discussed. It is shown that the well-known divergence exhibited in specific heat is not removed by any of these corrections. However, regions of thermodynamic stability are affected by noncommutativity, increasing the available states for which some thermodynamic stability conditions are satisfied.http://www.mdpi.com/1099-4300/18/11/406thermodynamicsblack hole thermodynamicsnoncommutativity
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lenin F. Escamilla-Herrera Eri A. Mena-Barboza José Torres-Arenas
spellingShingle	Lenin F. Escamilla-Herrera Eri A. Mena-Barboza José Torres-Arenas Thermodynamics of Noncommutative Quantum Kerr Black Holes Entropy thermodynamics black hole thermodynamics noncommutativity
author_facet	Lenin F. Escamilla-Herrera Eri A. Mena-Barboza José Torres-Arenas
author_sort	Lenin F. Escamilla-Herrera
title	Thermodynamics of Noncommutative Quantum Kerr Black Holes
title_short	Thermodynamics of Noncommutative Quantum Kerr Black Holes
title_full	Thermodynamics of Noncommutative Quantum Kerr Black Holes
title_fullStr	Thermodynamics of Noncommutative Quantum Kerr Black Holes
title_full_unstemmed	Thermodynamics of Noncommutative Quantum Kerr Black Holes
title_sort	thermodynamics of noncommutative quantum kerr black holes
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2016-11-01
description	The thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, the equations of state and thermodynamic response functions are explicitly given, and the effect of noncommutativity and quantum correction is discussed. It is shown that the well-known divergence exhibited in specific heat is not removed by any of these corrections. However, regions of thermodynamic stability are affected by noncommutativity, increasing the available states for which some thermodynamic stability conditions are satisfied.
topic	thermodynamics black hole thermodynamics noncommutativity
url	http://www.mdpi.com/1099-4300/18/11/406
work_keys_str_mv	AT leninfescamillaherrera thermodynamicsofnoncommutativequantumkerrblackholes AT eriamenabarboza thermodynamicsofnoncommutativequantumkerrblackholes AT josetorresarenas thermodynamicsofnoncommutativequantumkerrblackholes
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Thermodynamics of Noncommutative Quantum Kerr Black Holes

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