Low energy 2+1 string gravity; black hole solutions

TL;DR

This paper derives detailed dynamical equations for n-dimensional heterotic string theory, explores black hole solutions, and generalizes static solutions to stationary cases using symmetry transformations.

Contribution

It provides explicit derivations of dynamical equations in different frames and extends static black hole solutions to stationary ones via SL(2;R) transformations.

Findings

Explicit dynamical equations for 3D string theory

Relation between different string black hole solutions

Stationary generalization of static black holes

Abstract

In this report a detailed derivation of the dynamical equations for an n dimensional heterotic string theory of the Horowitz type is carried out in the string frame and in the Einstein frame too. In particular, the dynamical equations of the three dimensional string theory are explicitly given. The relation of the Horowitz Welch and Horne Horowitz string black hole solution is exhibited. The Chan Mann charged dilaton solution is derived and the subclass of string solutions field is explicitly identified. The stationary generalization, via SL(2;R) transformations, of the static (2+1) Horne Horowitz string black hole solution is given.