Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
arXiv:0911.2123 · doi:10.1016/j.physletb.2010.02.034
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