New Charged Dilaton Solutions in 2+1 Dimensions and Solutions with Cylindrical Symmetry in 3+1 Dimensions

TL;DR

This paper introduces new charged dilaton solutions in 2+1 dimensions and cylindrical symmetric solutions in 3+1 dimensions, expanding the set of known solutions in Einstein-Maxwell-dilaton gravity with potential applications in lower-dimensional gravity models.

Contribution

It presents a new family of static and rotating charged solutions in 2+1 and 3+1 dimensions, derived via compactification and symmetry transformations, respectively.

Findings

Solutions contain naked singularities for certain parameters.

New rotating charged solutions are generated from static seed metrics.

Solutions extend the known solution space in Einstein-Maxwell-dilaton gravity.

Abstract

We report a new family of solutions to Einstein-Maxwell-dilaton gravity in 2+1 dimensions and Einstein-Maxwell gravity with cylindrical symmetry in 3+1 dimensions. A set of static charged solutions in 2+1 dimensions are obtained by a compactification of charged solutions in 3+1 dimensions with cylindrical symmetry. These solutions contain naked singularities for certain values of the parameters considered. New rotating charged solutions in 2+1 dimensions and 3+1 dimensions are generated treating the static charged solutions as seed metrics and performing $SL(2;R)$ transformations.