Noncanonical phase-space noncommutativity and the Kantowski-Sachs singularity for black holes

• Type: Article in International Scientific Journal
• Date: 2011

Authors

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

Journal

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

Vol. 84

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 32 Citations

Scopus - 32 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-002-PR7

DOI: 10.1103/physrevd.84.024005

Abstract (EN): We consider a cosmological model based upon a noncanonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity problem of black holes whose interior are described by the Kantowski-Sachs metric and modeled by a noncommutative extension of the Wheeler-DeWitt equation. We compute the temperature and entropy of these black holes and compare the results with the Hawking values. We observe that it is actually the noncommutativity in the momentum sector that allows for the existence of a minimum in the potential, which is the key to apply the Feynman-Hibbs procedure. It is shown that this noncommutative model generates a nonunitary dynamics that predicts a vanishing probability in the neighborhood of the singularity. This result effectively regularizes the Kantowski-Sachs singularity and generalizes a similar result, previously obtained for the case of Schwarzschild black holes.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9