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

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.

24 pages, 7 figures

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Cited by in corpus (5)

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• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Bianchi IX geometry and the Einstein-Maxwell theory
• Charged black strings in a five-dimensional Kasner universe
• Exact Dynamical Black Hole Solutions in Five or Higher Dimensions