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

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 [Formula: see text] or the dark matter parameter [Formula: see text] increases. For damping rate of quasinormal modes, the influence of them is different. Specifically, the increase of dark matter parameter [Formula: see text] makes the damping rate increasing at first and then decreasing. While the damping rate is continuously decreasing with the increase of the magnetic charge [Formula: see text]. Moreover, we find that the increase of the dark matter parameter [Formula: see text] enhances the power emission spectrum whereas magnetic charge [Formula: see text] suppresses it. This means that the lifespan of black holes increases for smaller value of [Formula: see text] and larger value of [Formula: see text] 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 [Formula: see text] or the magnetic charge [Formula: see text] increasing.