Scalar perturbation of the higher-dimensional rotating black holes

The massless scalar field in the higher-dimensional Kerr black hole (Myers-Perry solution with a single rotation axis) has been investigated. It was shown that the field equation is separable in arbitrary dimensions. The quasinormal modes of the scalar field were searched in five dimensions using the continued fraction method. The numerical result shows evidence for the stability of the scalar perturbation of five-dimensional Kerr black holes. The time scale of the resonant oscillation in a rapidly rotating black hole, in which case the horizon radius becomes small, is characterized by (black hole mass)(1/2)(Planck mass)(-3/2) rather than the light-crossing time of the horizon.