Statistical Entropy of Three-dimensional Kerr-De Sitter Space

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 $M^2=1/3J^2/l^2$ 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.

References added. 15 pages, no figures

References in corpus (6)

• Geometry of the 2+1 Black Hole
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• The Statistical Mechanics of the (2+1)-Dimensional Black Hole
• Global Charges in Chern-Simons theory and the 2+1 black hole
• The dynamical structure of higher dimensional Chern-Simons theory
• Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space

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