String theory extensions of Einstein-Maxwell fields: the static case

TL;DR

This paper introduces a new method for generating solutions in string theories from static Einstein-Maxwell fields, enabling the construction of a broad class of solutions including extremal and non-extremal types.

Contribution

A novel solution-generating approach for string theories based on Einstein-Maxwell fields, invariant under specific symmetry groups, extending existing solution classes.

Findings

Constructed solution classes invariant under three-dimensional charging symmetries.

Derived explicit solutions related to three-dimensional gravity with a dilaton.

Extended extremal solutions to include non-extremal cases.

Abstract

We present a new approach for generation of solutions in the four-dimensional heterotic string theory with one vector field and in the five-dimensional bosonic string theory starting from the static Einstein-Maxwell fields. Our approach allows one to construct the solution classes invariant with respect to the total subgroup of the three-dimensional charging symmetries of these string theories. The new generation procedure leads to the extremal Israel-Wilson-Perjes subclass of string theory solutions in a special case and provides its natural continuous extension to the realm of non-extremal solutions. We explicitly calculate all string theory solutions related to three-dimensional gravity coupled to an effective dilaton field which arises after an appropriate charging symmetry invariant reduction of the static Einstein-Maxwell system.