Topological dilaton black holes

TL;DR

This paper presents exact solutions for topological black holes in four-dimensional Einstein-Maxwell-dilaton theory with a Liouville potential, expanding understanding of black hole geometries with non-spherical horizons.

Contribution

It introduces new exact topological black hole solutions in Einstein-Maxwell-dilaton theory with a specific dilaton potential, highlighting their geometric properties.

Findings

Exact solutions for topological black holes derived

Black holes with zero or negative curvature horizons analyzed

Implications for black hole topology and scalar fields discussed

Abstract

In four-dimensional spacetime, when the two-sphere of black hole event horizons is replaced by a two-dimensional hypersurface with zero or negative constant curvature, the black hole is referred to as a topological black hole. In this paper we present some exact topological black hole solutions in the Einstein-Maxwell-dilaton theory with a Liouville-type dilaton potential.