A pair of extremal charged black holes on Kerr-Taub-bolt space

TL;DR

This paper constructs new five-dimensional solutions describing pairs of extremal, charged black holes on Kerr-Taub-bolt space with unique topologies, revealing an infinite variety of horizon configurations.

Contribution

It introduces novel asymptotically Kaluza-Klein solutions with multiple horizon topologies for black hole pairs on Kerr-Taub-bolt space.

Findings

Infinite horizon topologies for black hole pairs.

Regularity conditions determine lens space topologies.

Potential generalization with positive cosmological constant.

Abstract

We construct asymptotically Kaluza-Klein solutions in five-dimensional Einstein-Maxwell theory which represent a pair of extremal, charged, static black holes on Kerr-Taub-bolt space. Regularity conditions require that the topology of spatial infinity and that of each black hole are not S$^3$, but different lens spaces. We show that for a given topology at spatial infinity, there are an infinite number of different horizon topologies for the black hole pair. We briefly discuss a generalization to the case with a positive cosmological constant.