# Quasinormal modes of scalar and Dirac perturbations of Bardeen de-Sitter black holes

## TL;DR

This paper investigates the quasinormal modes of scalar and Dirac perturbations in Bardeen de Sitter black holes, revealing how their frequencies depend on various parameters, thus enhancing understanding of regular black hole stability.

## Contribution

It provides the first detailed computation of quasinormal frequencies for Bardeen de Sitter black holes under scalar and Dirac perturbations, highlighting their unique properties.

## Key findings

- Real and imaginary parts of frequencies vary with parameters
- Stable oscillation modes identified for different perturbations
- Parameter dependence of damping times analyzed

## Abstract

So far the study of black hole perturbations has been mostly focussed upon the classical black holes with singularities at the origin and hidden by event horizon. Compared to that, the regular black holes are a completely new class of solutions arising out of modification of general theory of relativity by coupling gravity to an external form of matter. Therefore it is extremely important to study the behaviour of such regular black holes under different types of perturbations. Recently a new regular Bardeen black hole solution with a de Sitter branch has been proposed by Fernando. We compute the quasi-normal (QN) frequencies for the regular Bardeen de Sitter (BdS) black hole due to massless and massive scalar field perturbations as well as the massless Dirac perturbations. We analyze the behaviour of both real and imaginary parts of quasinormal frequencies by varying different parameters of the theory.