Static spherically symmetric solutions to Einstein-Maxwell Dilaton field equations in D dimensions

TL;DR

This paper classifies and finds exact solutions for static spherically symmetric configurations in Einstein-Maxwell Dilaton theory across D dimensions, including black hole solutions, with relevance to string theory at all orders of string tension.

Contribution

It provides a comprehensive classification of solutions and proves the uniqueness of black hole solutions in this theoretical framework.

Findings

Classified spherically symmetric solutions in D-dimensional Einstein-Maxwell Dilaton theory.

Derived exact solutions relevant to string theory at all orders of string tension.

Proved the uniqueness of static axially symmetric black hole solutions.

Abstract

We classify the spherically symmetric solutions of the Einstein-Maxwell Dilaton field equations in D dimensions and find some exact solutions of the string theory at all orders of the string tension parameter. We also show the uniqueness of the black hole solutions of this theory in static axially symmetric spacetimes.