Statistical Mechanics of Black Holes

Abstract

this paper is to examine whether and how this shortcoming in Carlip's approach can be overcome so that it can be applied to any black holes in various dimensions. So, we will in the following apply Carlip's approach to a (3+1)-dimensional (de-Sitter) black hole and see consequences. Before entering into details let us briefly review the Carlip's approach. The most important idea in this approach is that the event horizon of a black hole should -S537- -S538- Journal of the Korean Physical Society, Vol. 33, December 1998 be treated as a boundary to observers outside a black hole. Although an event horizon is of course not a real physical object, it behaves to outside observers as if to be a genuine boundary which manifests the presence of a black hole. Therefore, to outside observers, an event horizon must entail a specific boundary condition on itself. It is well known, on the other hand, that when a boundary exists in a space-time a boundary condition on it generates a boundary term as well as the bulk term originally present in action, in order that the action principle still works in the presence of a boundary [9] (see als