Chiral models in dilaton-Maxwell gravity

TL;DR

This paper investigates the symmetry properties of Einstein-Maxwell-dilaton theories, develops a chiral matrix representation, and introduces a solution generation method using charging symmetries to produce charged solutions from static GR backgrounds.

Contribution

It introduces a chiral matrix formulation for Einstein-Maxwell-dilaton models and a new solution generation technique based on charging symmetries.

Findings

Constructed a chiral matrix related to Ernst-like potentials.

Separated gauge and nongauge symmetry sectors.

Developed a method to generate charged solutions from static GR solutions.

Abstract

We study symmetry properties of the Einstein-Maxwell theory nonminimaly coupled to the dilaton field. We consider a static case with pure electric (magnetic) Maxwell field and show that the resulting system becomes a nonlinear sigma-model wich possesses a chiral representation. We construct the corresponding chiral matrix and establish a representation which is related to the pair of Ernst-like potentials. These potentials are used for separation of the symmetry group into the gauge and nongauge (charging) sectors. New variables, which linearize the action of charging symmetries, are also established; a solution generation technique based on the use of charging symmetries is formulated. This technique is used for generation of the elecricaly (magneticaly) charged dilatonic fields from the static General Relativity ones.