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 AdS2. We find that some modes in the gravitational perturbations violate the Breitenl\"ohner-Freedman bound in AdS2. 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.
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