Quasinormal modes, Hawking radiation and absorption of the massless scalar field for Bardeen black hole surrounded by perfect fluid dark matter

TL;DR

This paper investigates how perfect fluid dark matter and magnetic charge affect the quasinormal modes, Hawking radiation, and absorption properties of Bardeen black holes, revealing parameter-dependent oscillation frequencies, damping rates, and emission spectra.

Contribution

It provides a detailed analysis of the influence of dark matter and magnetic charge on black hole perturbations and radiation, introducing new insights into their combined effects.

Findings

Oscillation frequency increases with magnetic charge and dark matter parameter.

Damping rate varies non-monotonically with dark matter parameter, decreases with magnetic charge.

Absorption cross-section decreases as dark matter parameter or magnetic charge increases.

Abstract

We study the quasinormal modes, Hawking radiation and absorption cross-section of the Bardeen black hole surrounded by perfect fluid dark matter for a massless scalar field. Our results show that the oscillation frequency of quasinormal modes is enhanced as magnetic charge $g$ or the dark matter parameter $\alpha$ increases. For damping rate of quasinormal modes, the influence of them is different. Specifically, the increase of dark matter parameter $\alpha$ makes the damping rate increasing at first and then decreasing. While the damping rate is continuously decreasing with the increase of the magnetic charge $g$. Moreover, we find that the increase of the dark matter parameter $\alpha$ enhances the power emission spectrum whereas magnetic charge $g$ suppresses it. This means that the lifespan of black holes increases for smaller value of $\alpha$ and larger value of $g$ when other parameters are fixed. Finally, the absorption cross-section of the considered black hole is calculated with the help of the partial wave approach. Our results suggest that the absorption cross-section decreases with the dark matter parameter $\alpha$ or the magnetic charge $g$ increasing.