Singularity problem and phase-space noncanonical noncommutativity

• Type: Article in International Scientific Journal
• Date: 2010

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. 82 No. 6

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 29 Citations

Scopus - 27 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-3X7

DOI: 10.1103/physrevd.82.041502

Abstract (EN): The Wheeler-DeWitt equation arising from a Kantowski-Sachs model is considered for a Schwarzschild black hole under the assumption that the scale factors and the associated momenta satisfy a noncanonical noncommutative extension of the Heisenberg-Weyl algebra. An integral of motion is used to factorize the wave function into an oscillatory part and a function of a configuration space variable. The latter is shown to be normalizable using asymptotic arguments. It is then shown that on the hypersurfaces of constant value of the argument of the wave function's oscillatory piece, the probability vanishes in the vicinity of the black hole singularity.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5