Dilaton Black Holes in de Sitter or Anti-de Sitter Universe

TL;DR

This paper constructs new dilaton black hole solutions in de Sitter or anti-de Sitter universes by combining three Liouville-type potentials, extending previous work that was limited to a single potential.

Contribution

It introduces a method to obtain dilaton black hole solutions with multiple Liouville potentials in de Sitter or anti-de Sitter backgrounds, overcoming previous non-existence results.

Findings

New dilaton black hole solutions with three Liouville potentials

Solutions valid in de Sitter and anti-de Sitter backgrounds

Extension of previous models with single potential

Abstract

Poletti and Wiltshire have shown that, with the exception of a pure cosmological constant, the solution of a dilaton black hole in the background of de Sitter or anti-de Sitter universe, does not exist in the presence of one Liouville-type dilaton potential. Here with the combination of three Liouville-type dilaton potentials, we obtain the dilaton black hole solutions in the background of de Sitter or anti-de Sitter universe.