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High Energy Physics - Theory

arXiv:1012.5523 (hep-th)
[Submitted on 26 Dec 2010]

Title:Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes

Authors:Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias, João Nuno Prata
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Abstract:We consider a cosmological model based upon a non-canonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity problem of both the Schwarzschild and the Kantowski-Sachs black holes. The interior of the black hole is modelled by a noncommutative extension of the Wheeler-DeWitt equation. We compute the temperature and entropy of a Kantowski-Sachs black hole and compare our results with the Hawking values. Again, the noncommutativity in the momenta sector allows us to have a minimum in the potential, which is relevant in order to apply the Feynman-Hibbs procedure. For Kantowski-Sachs black holes, the same model is shown to generate a non-unitary dynamics, predicting vanishing total 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 hole.
Comments: JHEP style, 14 pages, 2 figures
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1012.5523 [hep-th]
  (or arXiv:1012.5523v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1012.5523
Journal reference: Phys.Rev.D84:024005,2011
Related DOI: https://doi.org/10.1103/PhysRevD.84.024005

Submission history

From: Orfeu Bertolami [view email]
[v1] Sun, 26 Dec 2010 15:26:35 UTC (235 KB)
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