Rotating black holes on Kaluza-Klein bubbles

Abstract

Using the solitonic solution-generating techniques, we generate a new exact solution which describes a pair of rotating black holes on a Kaluza-Klein bubble as a vacuum solution in the five-dimensional Kaluza-Klein theory. We also investigate the properties of this solution. Two black holes with topology ${S}^{3}$ are rotating along the same direction even though the directions of intrinsic spin of the black holes are different. The bubble plays a role in holding two black holes. In the static case, it coincides with the solution found by Elvang and Horowitz.