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 the Chern–Simons theory with boundaries, and extended Cardy's formula. This is in agreement with the thermodynamics formula.
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