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.

arXiv comment26 pages; v2: minor typo corrected

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Cited by in corpus (3)

• Classification of near-horizon geometries of extremal black holes
• Massive tensor field perturbations on extremal and near-extremal static black holes
• Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes