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.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)