The Kerr-Newman-Godel Black Hole

TL;DR

This paper derives a new family of five-dimensional rotating, charged black hole solutions in string theory by applying Hassan-Sen transformations to known supergravity solutions, unifying Kerr-Newman and Godel black holes.

Contribution

It introduces a four-parameter family of solutions in type II string theory that generalizes Kerr-Newman and Godel black holes through string dualities and transformations.

Findings

Derived new five-dimensional black hole solutions with rotation and charge.

Unified Kerr-Newman and Godel black holes within a single framework.

Identified extremal limit leading to Godel BMPV black hole.

Abstract

By applying a set of Hassan-Sen transformations and string dualities to the Kerr-Godel solution of minimal D=5 supergravity we derive a four parameter family of five dimensional solutions in type II string theory. They describe rotating, charged black holes in a rotating background. For zero background rotation, the solution is D=5 Kerr-Newman; for zero charge it is Kerr-Godel. In a particular extremal limit the solution describes an asymptotically Godel BMPV black hole.