Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: an analytical study

TL;DR

This paper analytically investigates the superradiant stability of higher-dimensional non-extremal Reissner-Nordstrom black holes under charged massive scalar perturbations, extending previous methods and confirming stability in multiple dimensions.

Contribution

It extends an analytical method to non-extremal black holes and proves superradiant stability for four- and five-dimensional cases, suggesting higher dimensions are also stable.

Findings

Four-dimensional Reissner-Nordstrom black hole is superradiantly stable.

Five-dimensional Reissner-Nordstrom black holes are superradiantly stable.

Higher-dimensional non-extremal Reissner-Nordstrom black holes may be superradiantly stable.

Abstract

The superradiant stability of higher dimensional non-extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. We extend an analytical method developed by one of the authors in the extremal Reissner-Nordstrom black hole cases to non-extremal cases. Using the new analytical method, we revisit four-dimensional Reissner-Nordstrom black hole case and obtain that four-dimensional Reissner-Nordstrom black hole is superradiantly stable, which is consistent with results in previous works. We then analytically prove that the five-dimensional Reissner-Nordstrom black holes are also superradiantly stable under charged massive scalar perturbation. Our result implies that all higher dimensional non-extremal Reissner-Nordstrom black holes may be superradiantly stable under charged massive scalar perturbation.