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Entropy 2017, 19(3), 91;

On the Entropy of Deformed Phase Space Black Hole and the Cosmological Constant

Centro Universitario de la Ciénega, Universidad de Guadalajara, Edificio P, Ocotlán, Jalisco 47820, Mexico
Departamento de Física de la Universidad de Guanajuato, León 37150, Mexico
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Remo Garattini
Received: 27 November 2016 / Revised: 18 February 2017 / Accepted: 22 February 2017 / Published: 28 February 2017
(This article belongs to the Section Astrophysics and Cosmology)
View Full-Text   |   Download PDF [215 KB, uploaded 28 February 2017]


In this paper we study the effects of noncommutative phase space deformations on the Schwarzschild black hole. This idea has been previously studied in Friedmann–Robertson–Walker (FRW) cosmology, where this “noncommutativity” provides a simple mechanism that can explain the origin of the cosmological constant. In this paper, we obtain the same relationship between the cosmological constant and the deformation parameter that appears in deformed phase space cosmology, but in the context of the deformed phase space black holes. This was achieved by comparing the entropy of the deformed Schwarzschild black hole with the entropy of the Schwarzschild–de Sitter black hole. View Full-Text
Keywords: black hole entropy; deformed phase space; cosmological constant black hole entropy; deformed phase space; cosmological constant
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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Crespo-Hernández, A.; Mena-Barboza, E.A.; Sabido, M. On the Entropy of Deformed Phase Space Black Hole and the Cosmological Constant. Entropy 2017, 19, 91.

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