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Statistical Entropy of Three-dimensional Kerr-De Sitter Space

Mu-In Park
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Abstract

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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Mu-In Park. 1998-06-23. Statistical Entropy of Three-dimensional Kerr-De Sitter Space. https://doi.org/10.1016/s0370-2693(98)01119-8

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