On the smoothness of the multi-BMPV black hole spacetime

Abstract

We demonstrate that, in a multi-BMPV black hole spacetime, the event horizon is not smooth. We explicitly show that for a simpler configuration comprising a line of static extremal black holes and a single BMPV black hole, the metric at the horizon of the BMPV black hole is once, but not twice, continuously differentiable. We argue that this result is also valid when all the black holes are rotating. The Maxwell field strength is shown to be continuous, but not differentiable at the horizon. We also briefly demonstrate that previous work done to show lack of smoothness of static multi-centre solutions in five dimensions is not significantly modified by the inclusion of a higher derivative term in the action for five dimensional supergravity.

17 pages; reference added

References in corpus (6)

• A supersymmetric black ring
• Concentric Black Rings
• How hairy can a black ring be?
• On the smoothness of static multi-black hole solutions of higher-dimensional Einstein-Maxwell theory
• Sliding Rings and Spinning Holes
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Cited by in corpus (6)

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• Supersymmetric black holes with a single axial symmetry in five dimensions
• A simple diagnosis of non-smoothness of black hole horizon: Curvature singularity at horizons in extremal Kaluza-Klein black holes
• Asymptotically flat multi-black lenses
• A pair of extremal charged black holes on Kerr-Taub-bolt space
• On the smoothness of multi-M2 brane horizons