Thermodynamics of charged topological dilaton black holes

Understand

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.