STRING THEORY EXTENSIONS OF EINSTEIN–MAXWELL FIELDS: THE STATIC CASE

Abstract

We present a new approach for generating solutions in both the four–dimensional heterotic string theory with one vector field and the five–dimensional bosonic string theory, starting from static Einstein–Maxwell fields. Our approach allows one to construct classes of solutions which are invariant with respect to the total subgroup of three-dimensional charging symmetries of these string theories. The new solution-generating 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 nonextremal 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.