The Kerr-Newman-Godel black hole

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.