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Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law

Nov, 2009

18 pages

Published in:

Phys.Lett.B 686 (2010) 181-187

e-Print:

0911.2123 [hep-th]

DOI:

10.1016/j.physletb.2010.02.034

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Abstract: (Elsevier)

We show the importance of the Voros product in defining a noncommutative Schwarzschild black hole. The corrected entropy/area law is then computed in the tunneling formalism. Two types of corrections are considered; one, due to the effects of noncommutativity and the other, due to the effects of going beyond the semiclassical approximation. The leading correction to the semiclassical entropy/area-law is logarithmic and its coefficient involves the noncommutative parameter.

Note:

V2, minor modifications, references enlarged, LaTeX, 20 pages, no figures, to appear in Phys. Lett. B

Voros product
Noncommutative Schwarzschild black hole
black hole: Schwarzschild
effect: noncommutative
correction
tunneling
approximation: semiclassical
Hilbert space
phase space
coherent state

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