On the smoothness of the multi-BMPV black hole spacetime

Details On the smoothness of the multi-BMPV black hole spacetime On the smoothness of the multi-BMPV black hole spacetime

2009-04-24

arxiv.org/abs/0904.3885v2

Class.Quant.Grav.27:065005,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages; reference added

Scientific paper

10.1088/0264-9381/27/6/065005

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.

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