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Zarrinkamar, S.; Hassanabadi, H.; Rajabi, A. A.

On the non-canonical noncommutative Wheeler-DeWitt equation for Schwarzschild and Kantowski-Sachs black holes. (English) Zbl 1276.83032

Astrophys. Space Sci. 344, No. 1, 1-4 (2013).
Summary: The interior of both Schwarzschild and Kantowski-Sachs black holes is studied via a non-canonical noncommutative extension of the Wheeler-DeWitt equation in the interesting work [C. Bastos et al., “Noncanonical phase-space noncommutativity and the Kantowski-Sachs singularity for black holes”, Phys. Rev. D 84, Article ID 024005 (2011; doi:10.1103/PhysRevD.84.024005)] by neglecting the cubic and quartic terms arising the Hamiltonian. Here, we consider the problem when these terms are present and provide a more realistic analytical solution to the problem.

MSC:

83C65 Methods of noncommutative geometry in general relativity
83C57 Black holes

Keywords:

Schwarzschild black hole; Kantowski-Sachs black hole; non-canonical noncommutative quantum cosmology; ansatz approach
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Full Text: DOI

References:

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