Stability of five-dimensional rotating black holes projected on the brane

Abstract

We study the stability of five-dimensional Myers-Perry black holes with a single angular momentum under linear perturbations, and we compute the quasinormal modes of the black hole metric projected on the brane, using Leaver's continued fraction method. In our numerical search we do not find unstable modes. The damping time of the modes having $l=m=2$ and $l=m=1$ tends to infinity as the black hole spin tends to the extremal value, showing a behavior reminiscent of the one observed for ordinary four-dimensional Kerr black holes.