Abstract
The quasinormal frequencies of gravitational perturbation around some well-known regular black holes were investigated in this work. We consider complete perturbations of the energy-momentum tensor of electromagnetic part for non-linear electrodynamics and gravitational field. By using the WKB approximation and the asymptotic iteration method, we make a detailed analysis of the gravitational QNM frequencies by varying the characteristic parameters of the gravitational perturbation and the spacetime charge parameters of the regular black holes. It is found that the imaginary part of quasinormal modes as a function of the charge parameter has different monotonic behaviors for different black hole spacetimes. Moreover, the asymptotic expressions of gravitational QNMs for l gg 1 are obtained by using the eikonal limit method. We demonstrate that the gravitational perturbation is stable in all these spacetimes.
Highlights
Among several types of field perturbation, gravitational perturbation is considered to be the most important one
We do not have a complete theory of quantum gravity, regular black hole solutions were proposed by coupling Einstein gravity to an external form of matter
It is interesting to compute quasinormal modes (QNMs) for the regular black hole spacetimes and see how it is different from the ordinary ones
Summary
Among several types of field perturbation, gravitational perturbation is considered to be the most important one. Fernando and Correa have studied QNMs spectrum of the scalar field of the regular black hole for various values of the perturbation parameters [46]. Massless and massive Dirac QNMs were studied in the regular black hole spacetime by using the WKB approach in Ref. Once the wavelike perturbation equations with an effective potential are addressed, one can solve the gravitational QNMs by several numerical methods, such as integration of the wavelike equations, the monodromy method, fit and interpolation approaches, the continued fraction method, the Mashhoon method, the WKB approximation method [50,51,52], the asymptotic iteration method [53,54,55] and so on [56–66]. 3. The section is devoted to the numerical calculations of the gravitational QNMs in given spacetimes by using the 3rd order WKB approximation and the asymptotic iteration method.
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