Non-Axisymmetric Instability of Rotating Black Holes in Higher Dimensions

Abstract

We calculate the scalar-gravitational quasi-normal modes of equal angular momenta Myers-Perry black holes in odd dimensions. We find a new bar-mode (non-axisymmetric) classical instability for $D\ge 7$. These black holes were previously found to be unstable to axisymmetric perturbations for spins very near extremality. The bar-mode instability we find sets in at much slower spins, and is therefore the dominant instability of these black holes. This instability has important consequences for the phase diagram of black holes in higher dimensions.

5 pages, 2 figures, v2: minor revisions

References in corpus (5)

• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Bicycling Black Rings
• An instability of higher-dimensional rotating black holes
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta

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