Ultraspinning instability of anti-de Sitter black holes

Details Ultraspinning instability of anti-de Sitter black holes Ultraspinning instability of anti-de Sitter black holes

2010-11-03

arxiv.org/abs/1011.0996v2

JHEP 1012:067,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 7 figures. v2: Reference added. Matches published version

Scientific paper

10.1007/JHEP12(2010)067

Myers-Perry black holes with a single spin in d>5 have been shown to be unstable if rotating sufficiently rapidly. We extend the numerical analysis which allowed for that result to the asymptotically AdS case. We determine numerically the stationary perturbations that mark the onset of the instabilities for the modes that preserve the rotational symmetries of the background. The parameter space of solutions is thoroughly analysed, and the onset of the instabilities is obtained as a function of the cosmological constant. Each of these perturbations has been conjectured to represent a bifurcation point to a new phase of stationary AdS black holes, and this is consistent with our results.

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