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Quasinormal Modes of Extended Gravity Black Holes
Version 1
: Received: 26 September 2020 / Approved: 27 September 2020 / Online: 27 September 2020 (08:10:34 CEST)
How to cite: Jawad, A.; Chaudhary, S.; Yasir, M.; Övgün, A.; Sakallı, İ. Quasinormal Modes of Extended Gravity Black Holes. Preprints 2020, 2020090669. https://doi.org/10.20944/preprints202009.0669.v1 Jawad, A.; Chaudhary, S.; Yasir, M.; Övgün, A.; Sakallı, İ. Quasinormal Modes of Extended Gravity Black Holes. Preprints 2020, 2020090669. https://doi.org/10.20944/preprints202009.0669.v1
Abstract
Black hole's quasinormal frequencies are basically the complex numbers which provide information about the relaxation of perturbations and depend on the characteristics of the spacetime and types of perturbations. In this paper, we evaluate the quasinormal modes of Hayward black hole in Einstein Gauss-Bonnet gravity, Hayward black hole in anti-de Sitter space (AdS) spacetime, and 4-dimensional black hole in Einstein-Lovelock gravity. By utilizing the WKB resonance technique, we examine the quasinormal modes frequencies $\omega$ by shifting the charge parameter $Q$ (it is also identified with the cosmological constant), circular harmonic index $l$, and mass of scalar field $m$. We also study the relaxation rate for those black holes and find out that the relaxation rate increases with increasing values of $Q$. We observe that real and imaginary components of the quasinormal modes are not linear functions as similar to Reisnner Nordstr\"{o}m-AdS. For large values of charge, quasinormal ringing becomes slower to settle down to thermal equilibrium and hence the frequency of the oscillation becomes smaller.
Keywords
relativity and gravitation; Black Holes; Quasinormal modes; Modified Gravity; Einstein-Gauss-Bonnet Gravity
Subject
Physical Sciences, Acoustics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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