Charged Dilaton Black Holes with Unusual Asymptotics

TL;DR

This paper introduces a new class of higher-dimensional charged dilaton black holes with unique asymptotic properties, expanding the landscape of solutions in Einstein-Maxwell-dilaton gravity.

Contribution

It presents novel black hole solutions with regular horizons and unusual asymptotics, including cases with Liouville-type potentials for the dilaton.

Findings

Solutions have regular horizons and a singularity at the origin.

Asymptotics are neither flat nor (A)dS, representing new boundary behaviors.

Existence of solutions with Liouville-type dilaton potentials.

Abstract

We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in $n \ge 4$ dimensions. These solutions have regular horizons and a singularity only at the origin. Their asymptotic behavior is neither asymptotically flat nor (anti-) de Sitter. Similar solutions exist for certain Liouville-type potentials for the dilaton.