Black holes and phase-space noncommutativity

• Type: Article in International Scientific Journal
• Date: 2009

Authors

bastos, c (Author) Other; bertolami, o (Author) Other; dias, nc (Author) Other; prata, jn (Author) Other

Journal

Title: Physical Review D - Particles, Fields, Gravitation and Cosmology

Vol. 80

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 51 Citations

Scopus - 48 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-E5V

DOI: 10.1103/physrevd.80.124038

Abstract (EN): We use the solutions of the noncommutative Wheeler-DeWitt equation arising from a Kantowski-Sachs cosmological model to compute thermodynamic properties of the Schwarzschild black hole. We show that the noncommutativity in the momentum sector introduces a quadratic term in the potential function of the black hole minisuperspace model. This potential has a local minimum and thus the partition function can be computed by resorting to a saddle point evaluation in the neighborhood of the minimum. The thermodynamics of the black hole is derived and the corrections to the usual Hawking temperature and entropy exhibit a dependence on the momentum noncommutative parameter, eta. Moreover, we study the t=r=0 singularity in the noncommutative regime and show that in this case the wave function of the system vanishes in the neighborhood of t=r=0.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7