Superradiantly stability analysis on dyonic stringly black hole

TL;DR

This paper investigates the superradiant stability of dyonic black holes in string theory, revealing that magnetic charge induces greater instability compared to purely electric black holes, and identifies parameter regions for stability.

Contribution

It provides the first detailed analysis of superradiant stability for dyonic black holes in string theory, highlighting the destabilizing effect of magnetic charge.

Findings

Dyonic black holes are more unstable than Reissner-Nordström black holes due to magnetic charge.

The stability region depends on specific parameters related to the black hole's charges.

Electric charge alone does not lead to superradiant instability in string theory black holes.

Abstract

The black hole superradiance phenomena state that when a scalar wave perturbation is properly scattering off a charged or rotating black hole, the energy of the reflected scalar wave may be amplified. If this amplification process can occur back and forth through certain confining mechanisms, it will lead to strong instability of the black hole, which is so-called "black hole bomb". In this paper, the superradiant stability is investigated for dyonic black holes in string theory. Although the electric charged black hole in string theory has been proved superrdiantly stable, it is found that the dyonic black hole is more unstable than an RN black hole due to the magnetic charge. Furthermore, by our analysis of the effective potential outside the event horizon, we give the region of the parameter associated with the superradiance stability on dyonic stringly black hole.