Abstract

We numerically study the superradiant instability of charged massless scalar field in the background of charged stringy black hole with mirror-like boundary condition. We compare the numerical result with the previous analytical result and show the dependencies of this instability upon various values of black hole charge Q, scalar field charge q, and mirror radius rm. Especially, we have observed that imaginary part of BQN frequencies grows with the scalar field charge q rapidly.

Highlights

  • We numerically study the superradiant instability of charged massless scalar field in the background of charged stringy black hole with mirror-like boundary condition

  • In [40], we have studied the superradiant instability of the scalar field in the background of charged stringy black hole due to a mirror-like boundary condition

  • It is easy to see that, in the superradiance regime, Re[ωBQN ] − qΦH < 0, the imaginary part of the complex boxed quasinormal (BQN) frequency δ > 0. This indicates that the BQN frequencies in the superradiant regime is unstable for the charged scalar field with the mirror-like boundary condition in the background of the charged stringy black hole

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Summary

Introduction

We numerically study the superradiant instability of charged massless scalar field in the background of charged stringy black hole with mirror-like boundary condition. In [40], we have studied the superradiant instability of the scalar field in the background of charged stringy black hole due to a mirror-like boundary condition.

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