Superradiant instability of dyonic Reissner-Nordstrom black holes

TL;DR

This paper analyzes the potential for superradiant instability in dyonic Reissner-Nordström black holes and finds that such instability does not occur due to incompatible conditions for trapping wells and superradiance.

Contribution

It provides a detailed analysis showing that dyonic Reissner-Nordström black holes cannot undergo superradiant instability under charged massive scalar perturbations.

Findings

Superradiant instability conditions are not met in dyonic Reissner-Nordström black holes.

Trapping well conditions conflict with superradiance criteria.

Superradiant instability is ruled out for these black holes.

Abstract

We investigate the superradiant instability of dyonic Reissner-Nordstr\"{o}m (dRN) black holes with two charges under a charged massive scalar perturbation. Two conditions for possessing a trapping well are obtained from analyzing asymptotic scalar potential and far-region wave functions. It is clear that the superradiant instability is not allowed in the dRN black holes because the conditions for a trapping well are not compatible with the superradiance condition.