Abstract
Bardeen de-Sitter (BdS) black hole is a spherically symmetric solution of Einstein’s equation which is coupled to nonlinear electromagnetic field in a way that one gets a regular solution, devoid of any singularity at the origin. We compute the quasinormal (QN) frequencies for BdS black hole due to electromagnetic and gravitational perturbations. We analyse the behaviour of both real and imaginary parts of BdS QN frequencies by varying the black hole parameters and compare frequencies with Reissner-Nordström de-Sitter (RN-dS) black hole. Interestingly, we find that the response of BdS and RN-dS black holes under electromagnetic and gravitational perturbations are different when the charge parameter is varied, which can be used to understand nonlinear and linear electromagnetic fields in curved spacetime separately. A study on the dynamics of perturbation as well as the scattering from the BdS black holes using WKB approach is performed. Greybody factors and their variations with black hole parameters are investigated.
Highlights
It is well know that the dynamical evolution of perturbations of a black hole background can be classified into three distinct stages, the first stage consists of an initial outburst of wave which depends completely on the initial perturbing field, the second one consists of damped oscillations, known in the literature as the quasinormal modes (QNM) whose frequencies are complex numbers
In this paper we focus our attention on the behaviour of the dynamical response of the spherically symmetric regular black hole in de Sitter space under electromagnetic and gravitational perturbations
It would be interesting to study the isospectrality of different types of perturbations in regular black holes in de Sitter space
Summary
It is to be noted that apart from the fact that the QN frequencies contain important information about the black hole parameters, they were of importance from the point of view of AdS/CFT correspondence It has been found [31,32] that QNMs in AdS space time appear naturally in the description of the dual conformal field theory on the boundary. This observation has motivated the study of QNMs towards asymptotically AdS black holes [33,34,35] too.
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