Balanced electric-magnetic dihole in Kaluza-Klein theory

TL;DR

This paper constructs a balanced four-dimensional dihole solution in Kaluza-Klein theory, featuring an electrically charged and a magnetically charged black hole in equilibrium, using inverse-scattering methods.

Contribution

It introduces a novel exact solution describing a balanced dihole system in Kaluza-Klein theory, constructed via inverse-scattering in five-dimensional gravity.

Findings

The solution is completely regular outside the horizons.

It describes a superposition of electric and magnetic black holes in equilibrium.

Properties are analyzed from both four- and five-dimensional viewpoints.

Abstract

We present a four-dimensional double-black-hole (or dihole) solution in Kaluza-Klein theory, describing a superposition of an electrically charged and a magnetically charged black hole. This system can be balanced for appropriately chosen parameters, and the resulting space-time is completely regular on and outside the event horizons. This solution was constructed using the inverse-scattering method in five-dimensional vacuum gravity, in which it describes a rotating black ring surrounding a static black hole on a Taub-NUT background space. Various properties of this solution are studied, from both a four- and five-dimensional perspective.