No black hole bomb for D -dimensional nonextremal Reissner-Nordström black holes against charged massive scalar perturbation

The superradiant stability of asymptotically flat D-dimensional nonextremal Reissner-Nordstr\"om black holes under charged massive scalar perturbation is analytically studied. In previous works, it was proved that there are no black hole bombs for five- and six-dimensional nonextremal Reissner-Nordstr\"om black holes against charged massive scalar perturbation. In this work, we extend the previous discussions to the D-dimensional case (D≥7) and find that the same conclusion holds in arbitrary higher dimensional case.