Journal
PHYSICAL REVIEW D
Volume 80, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.80.124038
Keywords
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Funding
- Fundacao para a Ciencia e a Tecnologia (FCT) [SFRH/BD/24058/2005, PTDC/MAT/69635/2006]
- Fundação para a Ciência e a Tecnologia [SFRH/BD/24058/2005, PTDC/MAT/69635/2006] Funding Source: FCT
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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.
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