Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law

Abstract

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.

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

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