Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
High Energy Physics - Theory
2010-03-26 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.0911.2123,
title = {Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law},
author = {Rabin Banerjee and Sunandan Gangopadhyay and Sujoy Kumar Modak},
journal= {arXiv preprint arXiv:0911.2123},
year = {2010}
}
Comments
V2, minor modifications, references enlarged, LaTeX, 20 pages, no figures, to appear in Phys. Lett. B