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Ultraspinning instability: the missing link

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Abstract

We study linearized perturbations of Myers-Perry black holes in d = 7, with two of the three angular momenta set to be equal, and show that instabilities always appear before extremality. Analogous results are expected for all higher odd d. We determine numerically the stationary perturbations that mark the onset of instability for the modes that preserve the isometries of the background. The onset is continuously connected between the previously studied sectors of solutions with a single angular momentum and solutions with all angular momenta equal. This shows that the near-extremality instabilities are of the same nature as the ultraspinning instability of d ≥ 6 singly-spinning solutions, for which the angular momentum is unbounded. Our results raise the question of whether there are any extremal Myers-Perry black holes which are stable in d ≥ 6.

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Authors and Affiliations

  1. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, U.K.

    Óscar J. C. Dias

  2. The Niels Bohr International Academy, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen, Denmark

    Ricardo Monteiro

  3. Department of Physics, UCSB, Santa Barbara, CA, 93106, U.S.A.

    Jorge E. Santos

Authors
  1. Óscar J. C. Dias
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  2. Ricardo Monteiro
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  3. Jorge E. Santos
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Correspondence to Ricardo Monteiro.

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Dias, Ó.J.C., Monteiro, R. & Santos, J.E. Ultraspinning instability: the missing link. J. High Energ. Phys. 2011, 139 (2011). https://doi.org/10.1007/JHEP08(2011)139

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