The Exact Geometry of a Kerr-Taub-NUT Solution of String Theory

TL;DR

This paper presents an exact string theory solution for a rotating Kerr-Taub-NUT spacetime, providing insights into the behavior of closed timelike curves and singularities within string theory frameworks.

Contribution

It introduces a new exact heterotic string background with a Kerr-Taub-NUT geometry, extending previous solutions and analyzing its properties and singularities.

Findings

Exact metric and dilaton computed for the rotating case

Analysis of curvature singularities in the solution

Discussion on closed timelike curves in string theory

Abstract

In this paper we study a solution of heterotic string theory corresponding to a rotating Kerr-Taub-NUT spacetime. It has an exact CFT description as a heterotic coset model, and a Lagrangian formulation as a gauged WZNW model. It is a generalisation of a recently discussed stringy Taub-NUT solution, and is interesting as another laboratory for studying the fate of closed timelike curves and cosmological singularities in string theory. We extend the computation of the exact metric and dilaton to this rotating case, and then discuss some properties of the metric, with particular emphasis on the curvature singularities.