Stability of Five-Dimensional Myers-Perry Black Holes with Equal Angular Momenta

We study the stability of five-dimensional Myers-Perry black holes with equal angular momenta which have an enlarged symmetry, U(2). Using this symmetry, we derive master equations for the metric perturbations that are relevant to the stability. Using the master equations, we prove the stability of Myers-Perry black holes under these perturbations. Our results provide evidence on the stability of Myers-Perry black holes with equal angular momenta.