Quasinormal Modes of Electromagnetic Perturbation for Bardeen Black Hole Surrounded by Perfect Fluid Dark Matter

We have conducted an investigation on the quasinormal spectrum of electromagnetic perturbation surrounding the Bardeen black hole which is enveloped by perfect fluid dark matter. With the metric at hand, the influence of the dark matter parameter \(\alpha \) and the magnetic charge g on the horizon radii of black hole are studied. It turns out that for fixed g, both the Cauchy horizon and event horizon radius increase with the decrease of \(\alpha \). But, with the increase of g, the Cauchy horizon radius increases while the event horizon radius decreases. Applying the sixth-order WKB approximation method, we have assessed the complex frequencies of the quasinormal modes. Our findings reveal that the oscillation frequency and decay rate of the electromagnetic perturbation are intensified with the augmentation of the dark matter parameter \(\alpha \) and the spherical harmonic index l respectively. Furthermore, as the magnetic charge g increases, the real component of the quasinormal modes frequencies undergoes escalation, while the imaginary component experiences a decrease. Notably, the variation in \(\alpha \) and g demonstrates that the imaginary components exhibit an almost linear correlation with the real components. These phenomena serve to distinguish the Bardeen black hole surrounded solely by perfect fluid dark matter.