Black holes in Godel universes and pp-waves

TL;DR

This work finds exact solutions for rotating and nonrotating neutral black holes in the Gödel universe of five-dimensional minimal supergravity theory and describes the embedding of this solution in M-theory.

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.

Figures (1)

• Figure 1: The projection to fixed $(t,\theta,\psi)$ plane of a null geodesic which is tangent to the velocity of light surface at an instant and spirals in towards the horizon in the future and in the past. The dotted line is the velocity of light surface and the shaded region is the region inside the horizon.