An instability of higher-dimensional rotating black holes

Abstract

We present the first example of a linearized gravitational instability of an asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry black hole with equal angular momenta in an odd number of dimensions. We find no evidence of any instability in five or seven dimensions, but in nine dimensions, for sufficiently rapid rotation, we find perturbations that grow exponentially in time. The onset of instability is associated with the appearance of time-independent perturbations which generically break all but one of the rotational symmetries. This is interpreted as evidence for the existence of a new 70-parameter family of black hole solutions with only a single rotational symmetry. We also present results for the Gregory-Laflamme instability of rotating black strings, demonstrating that rotation makes black strings more unstable.

38 pages, 13 figures

References in corpus (5)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Symmetries of Higher Dimensional Black Holes
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
• Rotating nonuniform black string solutions
• On the stability and spectrum of non-supersymmetric AdS(5) solutions of M-theory compactified on Kahler-Einstein spaces

Cited by in corpus (13)

• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• A scalar field condensation instability of rotating anti-de Sitter black holes
• Ultraspinning instability of rotating black holes
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Stable non-uniform black strings below the critical dimension
• Perturbations of higher-dimensional spacetimes
• Hidden symmetries of Eisenhart-Duval lift metrics and the Dirac equation with flux
• An infinite class of extremal horizons in higher dimensions
• Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory
• Phase structure of black branes in grand canonical ensemble
• Multipole moments for black objects in five dimensions
• Thermodynamic black di-rings
• Warped branches of flux compactifications