Topological black holes in the dimensionally continued gravity

Details Topological black holes in the dimensionally continued gravity Topological black holes in the dimensionally continued gravity

1998-08-25

arxiv.org/abs/gr-qc/9808067v2

Phys.Rev.D59:044013,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 20 Pages, no figures, minor modification and two references added

Scientific paper

10.1103/PhysRevD.59.044013

We investigate the topological black holes in a special class of Lovelock gravity. In the odd dimensions, the action is the Chern-Simons form for the anti-de Sitter group. In the even dimensions, it is the Euler density constructed with the Lorentz part of the anti-de Sitter curvature tensor. The Lovelock coefficients are reduced to two independent parameters: cosmological constant and gravitational constant. The event horizons of these topological black holes may have constant positive, zero or negative curvature. Their thermodynamics is analyzed and electrically charged topological black holes are also considered. We emphasize the differences due to the different curvatures of event horizons. As a comparison, we also discuss the topological black holes in the higher dimensional Einstein-Maxwell theory with a negative cosmological constant.

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