Chiral models in Dilaton—Maxwell Gravity

Abstract

We study symmetry properties of the Einstein—Maxwell theory nonminimally 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 σ-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 electrically (magnetically) charged dilatonic fields from the static General Relativity ones.