Rotating Black Holes on Kaluza-Klein Bubbles

TL;DR

This paper constructs and analyzes a new exact five-dimensional vacuum solution describing a pair of rotating black holes on a Kaluza-Klein bubble, revealing their properties and the role of the bubble in their configuration.

Contribution

It introduces a novel solution for rotating black holes on a Kaluza-Klein bubble using solitonic techniques, extending previous static solutions.

Findings

Black holes rotate along the same direction

The Kaluza-Klein bubble stabilizes the black hole pair

Static case matches previous known solutions

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 and the bubble plays a role in holding two black holes. In static case, it coincides with the solution found by Elvang and Horowitz.