Instability in near-horizon geometries of even-dimensional Myers-Perry black holes

Abstract

We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS${}_2$. We find that some modes in the gravitational perturbations violate the Breitenlöhner-Freedman bound in AdS${}_2$. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.

26 pages; v2: minor typo corrected

References in corpus (11)

• Near-horizon symmetries of extremal black holes
• A field-theory motivated approach to symbolic computer algebra
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• A classification of near-horizon geometries of extremal vacuum black holes
• Extremal vacuum black holes in higher dimensions
• Generalization of the Geroch-Held-Penrose formalism to higher dimensions
• Ultraspinning instability of 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
• Superradiance and Instability of Black Holes
• Perturbations of higher-dimensional spacetimes