On Quasinormal Modes for Gravitational Perturbations of Bardeen Black Hole

TL;DR

This paper calculates the quasinormal modes of a regular Bardeen black hole, revealing how such non-singular black holes respond to gravitational perturbations through damped oscillations.

Contribution

It provides the first computation of quasinormal frequencies for Bardeen black holes using third order WKB approximation, expanding understanding of regular black hole perturbations.

Findings

Quasinormal frequencies are obtained for Bardeen black holes.

Results are tabulated for different parameters of the black hole.

The damping and oscillation characteristics are characterized.

Abstract

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it still have events horizons depending on the values of the characteristic parameters of the solution. When a black hole is perturbed, it oscillates. It gives rise to damped vibrating modes which are known as quasinormal modes. It is calculated the quasinormal frequencies of a regular black hole using the third order WKB approximation for gravitational perturbations. The results are presented in tables I, II and III.