Statistical Entropy of Schwarzschild Black Holes

Abstract

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.

11 pages, LaTex, no figures, corrected typo

References in corpus (1)

• Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

Cited by in corpus (8)

• Very Long Time Scales and Black Hole Thermal Equilibrium
• Counting the Microstates of a Kerr Black Hole
• Brane-antibrane systems and the thermal life of neutral black holes
• The Entropy of the Rotating Charged Black Threebrane from a Brane-Antibrane System
• A Description of Schwarzschild Black Holes in terms of Intersecting M-branes and antibranes
• Statistical Entropy of the Four Dimensional Schwarzschild Black Hole
• Hawking Radiation from Four-dimensional Schwarzschild Black Holes in M-theory
• Matrix Theory Description of Schwarzschild Black Holes in the Regime N >> S