Black holes in Godel universes and pp-waves

TL;DR

This paper constructs exact black hole solutions in five-dimensional Godel universes within supergravity, explores their embedding in M-theory, and relates them to black strings in pp-wave backgrounds through dimensional reduction and T-duality.

Contribution

It provides the first explicit black hole solutions in Godel universes and connects these solutions to string theory backgrounds via dualities.

Findings

Exact rotating and non-rotating black hole solutions in Godel universe.

Embedding of solutions in M-theory.

Relation to black strings in pp-wave backgrounds.

Abstract

We find exact rotating and non-rotating neutral black hole solutions in the Godel universe of the five dimensional minimal supergravity theory. We also describe the embedding of this solution in M-theory. After dimensional reduction and T-duality, we obtain a supergravity solution corresponding to placing a black string in a pp-wave background.