Quasi Normal Modes of Ayon-Beato Garcia Regular Black Holes For Scalar Field

TL;DR

This paper computes the quasi-normal modes of Ayon-Beato Garcia regular black holes using WKB and AIM methods, analyzing their dependence on black hole parameters and confirming stability against scalar fields.

Contribution

It introduces a comparative analysis of QNM spectra for ABG black holes using two different computational methods and explores their stability properties.

Findings

Both WKB and AIM methods produce consistent QNM spectra.

The QNM frequencies depend on black hole parameters, multipole, and overtone numbers.

ABG black holes are stable under scalar field perturbations.

Abstract

In this paper, we compute quasi-normal modes of ABG black holes (which has a non-linear electrodynamical source) using the WKB methods and AIM. A comparison between the spectrum of QNMs calculated by both methods is made. We analyse how the spectrum of QNMs depends on the black hole parameters, multipole number and overtone number and establish that the ABG black hole is stable against the scalar field.