Thermodynamics of charged topological dilaton black holes

TL;DR

This paper presents a new class of topological black hole solutions in Einstein-Maxwell-dilaton theory, analyzing their thermodynamics and stability, highlighting the influence of the dilaton field on their properties.

Contribution

It introduces topological black hole solutions with Liouville-type dilaton potentials and examines their thermodynamic behavior and stability, which was not previously explored.

Findings

Black holes can have horizons with positive, zero, or negative curvature.

Dilaton field affects the thermodynamic stability of black holes.

Calculated thermodynamic quantities for these solutions.

Abstract

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.