Ultraspinning instability of anti-de Sitter black holes
Abstract
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.
Keywords
Cite
@article{arxiv.1011.0996,
title = {Ultraspinning instability of anti-de Sitter black holes},
author = {Oscar J. C. Dias and Pau Figueras and Ricardo Monteiro and Jorge E. Santos},
journal= {arXiv preprint arXiv:1011.0996},
year = {2015}
}
Comments
22 pages, 7 figures. v2: Reference added. Matches published version