Generation of heterotic string theory solutions from the stationary Einstein-Maxwell fields

TL;DR

This paper develops a new formalism to generate stationary solutions in heterotic string theory, extending Einstein-Maxwell solutions to include additional fields and symmetries, with explicit formulations in real and complex forms.

Contribution

It introduces a novel formalism that automatically incorporates symmetry invariance, enabling the generation of heterotic string solutions from Einstein-Maxwell fields.

Findings

Formalism in real and complex forms for solution generation

Extension of Einstein-Maxwell theory to string gravity models

Explicit maximal symmetry solutions derived

Abstract

A new formalism for construction of the stationary solutions is developed for the four-dimensional gravity coupled to the dilaton, Kalb-Ramond and two Maxwell fields in a low-energy heterotic string theory form. The result of generation is automatically invariant in respect to subgroup of the stationary charging symmetry transformations; the generation can be started from the stationary Einstein-Maxwell fields. The formalism is given both in real and new compact complex form, the result of maximal symmetry extension of the stationary Einstein-Maxwell theory to discussing string gravity model is explicitly written down.