Statistical Entropy of Schwarzschild Black Holes

Details Statistical Entropy of Schwarzschild Black Holes Statistical Entropy of Schwarzschild Black Holes

1998-01-08

arxiv.org/abs/hep-th/9801048v3

Phys.Lett. B426 (1998) 269-274

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTex, no figures, corrected typo

Scientific paper

10.1016/S0370-2693(98)00293-7

The entropy of a seven dimensional Schwarzschild black hole of arbitrary large radius is obtained by a mapping onto a near extremal self-dual three-brane whose partition function can be evaluated. The three-brane arises from duality after submitting a neutral blackbrane, from which the Schwarzschild black hole can be obtained by compactification, to an infinite boost in non compact eleven dimensional space-time and then to a Kaluza-Klein compactification. This limit can be defined in precise terms and yields the Bekenstein-Hawking value up to a factor of order one which can be set to be exactly one with the extra assumption of keeping only transverse brane excitations. The method can be generalized to five and four dimensional black holes.

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