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Entropy 2016, 18(11), 406; doi:10.3390/e18110406

Thermodynamics of Noncommutative Quantum Kerr Black Holes

1
Centro Universitario de la Ciénega, Universidad de Guadalajara, Ocotlán Jalisco 47820, Mexico
2
División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, León Guanajuato 37150, Mexico
Current address: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City 04510, Mexico
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editor: David Kubiznak
Received: 21 September 2016 / Revised: 9 November 2016 / Accepted: 11 November 2016 / Published: 16 November 2016
(This article belongs to the Special Issue Black Hole Thermodynamics II)
View Full-Text   |   Download PDF [562 KB, uploaded 17 November 2016]   |  

Abstract

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. View Full-Text
Keywords: thermodynamics; black hole thermodynamics; noncommutativity thermodynamics; black hole thermodynamics; noncommutativity
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Escamilla-Herrera, L.F.; Mena-Barboza, E.A.; Torres-Arenas, J. Thermodynamics of Noncommutative Quantum Kerr Black Holes. Entropy 2016, 18, 406.

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