Einstein-Maxwell gravity coupled to a scalar field in 2+1-dimensions

TL;DR

This paper explores a 2+1-dimensional Einstein-Maxwell-scalar field theory with a complex potential, deriving exact solutions such as black holes and non-black hole configurations, advancing understanding of lower-dimensional gravity models.

Contribution

It introduces a novel self-interacting scalar potential of double-Liouville type and finds exact solutions in this specific 2+1-dimensional setting.

Findings

Exact chargeless black hole solutions obtained

Singularity-free non-black hole solutions found

The model advances understanding of scalar field effects in lower-dimensional gravity

Abstract

We consider Einstein-Maxwell-self-interacting scalar field theory described by a potential $V\left( \phi \right) $ in $2+1-$dimensions. The self-interaction potential is chosen to be a highly non-linear double-Liouville type. Exact solutions, including chargeless black holes and singularity-free non-black hole solutions are obtained in this model.