Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-23
Phys.Rev.D76:124025,2007
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 15 figures, references added, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.76.124025
A class of $(n+1)$-dimensional topological black hole solutions in Einstein-Maxwell-dilaton theory with Liouville-type potentials for the dilaton field is presented. In these spacetimes, black hole horizon and cosmological horizon can be an $(n-1)$-dimensional positive, zero or negative constant curvature hypersurface. Because of the presence of the dilaton field, these topological black holes are neither asymptotically flat nor (anti)-de Sitter. We calculate the charge, mass, temperature, entropy and electric potential of these solutions. We also analyze thermodynamics of these topological black holes and disclose the effect of the dilaton field on the thermal stability of the solutions.
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