The singularity problem and phase-space noncanonical noncommutativity

Details The singularity problem and phase-space noncanonical noncommutativity The singularity problem and phase-space noncanonical noncommutativity

2009-12-20

arxiv.org/abs/0912.4027v1

Phys.Rev.D82:041502,2010

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, revtex4

Scientific paper

10.1103/PhysRevD.82.041502

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 hypersufaces of constant value of the argument of the wave function's oscillatory piece, the probability vanishes in the vicinity of the black hole singularity.

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