Statistical Entropy of Three-dimensional Kerr-De Sitter Space

Details Statistical Entropy of Three-dimensional Kerr-De Sitter Space Statistical Entropy of Three-dimensional Kerr-De Sitter Space

1998-06-15

arxiv.org/abs/hep-th/9806119v2

Phys.Lett. B440 (1998) 275-282

Physics

High Energy Physics

High Energy Physics - Theory

References added. 15 pages, no figures

Scientific paper

10.1016/S0370-2693(98)01119-8

I consider the (2+1)-dimensional Kerr-De Sitter space and its statistical entropy computation. It is shown that this space has only one (cosmological) event horizon and there is a phase transition between the stable horizon and the evaporating horizon at a point $M^2={1/3}J^2/l^2$ together with a lower bound of the horizon temperature. Then, I compute the statistical entropy of the space by using a recently developed formulation of Chern-Simons theory with boundaries, and extended Cardy's formula. This is in agreement with the thermodynamics formula.

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