ENTROPY OF CONSTANT CURVATURE BLACK-HOLES IN GENERAL-RELATIVITY - ART. NO. 024013

We consider the thermodynamic properties of the constant curvature bla ck hole solution recently found by Banados. We show that it is possibl e to compute the entropy and the quasilocal thermodynamics of the spac etime using the Einstein-Hilbert action of general relativity. The ent ropy we obtain is not associated with the event horizon; rather it is associated with the Killing horizon of static observers, which is tang ent to the event horizon. This unusual feature of the constant curvatu re black hole has not been seen in other black hole spacetimes. [S0556 -2821(98)00216-1].