Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb

TL;DR

This paper analytically demonstrates that six-dimensional non-extremal Reissner-Nordstrom black holes are superradiantly stable against charged massive scalar perturbations, extending previous lower-dimensional results.

Contribution

It extends the analysis of superradiant stability to six-dimensional black holes, showing no potential well exists outside the horizon for superradiant modes.

Findings

No potential well outside the horizon for superradiant modes

The system is superradiantly stable in six dimensions

Extends previous four- and five-dimensional stability analyses

Abstract

The superradiant stability of higher dimensional non-extremal Reissner-Nordstrom black hole under charged massive scalar perturbation is analytically studied. We extend our previous studies of four- and five-dimensional non-extremal Reissner-Nordstrom black hole cases to six-dimensional case. By analyzing the derivative of the effective potential with an analytical method, we find that no potential well exists outside the outer horizon of the black hole for the superradiant scalar modes. This means that there is no black hole bomb for the system consisting of six-dimensional Reissner-Nordstrom black hole and charged massive scalar perturbation and the system is superradiantly stable.