Topological black holes in the dimensionally continued gravity - art. no. 044013

We investigate topological black holes in a special class of Lovelock gravi ty. In odd dimensions, the action is the Chern-Simons form for the anti-de Sitter group. In even dimensions, it is the Euler density constructed with the Lorentz part of the anti-de Sitter curvature tensor. The Lovelock coeff icients are reduced to two independent parameters: the cosmological constan t and gravitational constant. The event horizons of these topological black holes may have constant positive, zero, or negative curvature. Their therm odynamics is analyzed and electrically charged topological black holes are also considered. We emphasize the differences due to the different curvatur es of event horizons. [S0556-2821(99)03702-9].