Gravito-Electromagnetic Perturbations and QNMs of Regular Black Holes

TL;DR

This paper investigates the gravito-electromagnetic perturbations and quasinormal modes of regular black holes within Einstein's gravity coupled to nonlinear electromagnetic fields, revealing significant parameter-dependent differences from classical black holes.

Contribution

It derives master equations for coupled perturbations of regular black holes and computes their quasinormal modes using numerical methods, highlighting the impact of magnetic charge and theory parameters.

Findings

QNMs depend strongly on black hole parameters and magnetic charge.

Regular black holes exhibit distinct QNM spectra compared to Reissner-Nordström black holes.

Results provide insights into the stability of regular black holes.

Abstract

In the framework of Einstein's gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes. The master equations of perturbations are obtained through Chandrasekhar's procedure, in which gravitational perturbations with odd-parity are coupled to the electromagnetic perturbations with even-parity. As an application, we apply the master equations to obtain quasinormal modes (QNMs) for three types of regular black holes by using numerical method. Results show that QNMs of regular black holes depends significantly on the parameters of the theory and the magnetic charge of the black holes and are very different from that of the Reissner-Nordstr\"om black hole. Indications of these results on the stability of these regular black holes are discussed in detail.