Gravitational perturbations and electromagnetic perturbations of the
Bardeen-Kiselev black hole with cosmological constant: quasinormal modes and
greybody factors

In this work, we investigate the particle dynamics around a static and
spherically symmetric Bardeen-Kiselev black hole with cosmological constant
which is a solution of the Einstein-non-linear Maxwell field equations along
with a quintessential field. We compute the quasinormal frequencies for
Bardeen-Kiselev black hole(BH) with cosmological constant due to
electromagnetic and gravitational perturbations. By varying the black hole
parameters, we discuss the behaviour of both real and imaginary parts of the BH
quasinormal frequencies. Interestingly, we find that except for the effect of
the normalization factor on the damping rate, the gravitational perturbations
and have similar qualitative behavior to electromagnetic perturbations in terms
of the other parameters. By using the WKB method, we study the dynamics of
perturbation and the scattering from the Bardeen-Kiselev black hole with
cosmological constant. Also greybody factors and their variations with BH
parameters are investigated.

Preprint

Subjects: General Relativity and Quantum Cosmology; Astrophysics - Cosmology and Nongalactic Astrophysics