Quasinormal modes of Einstein--scalar--Gauss--Bonnet black holes

Fuente: arXiv
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Main Author: Paul, Prosenjit
Format: Preprint
Published: 2023
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author Paul, Prosenjit
author_facet Paul, Prosenjit
contents In this paper, we investigate quasinormal modes of scalar and electromagnetic fields in the background of Einstein--scalar--Gauss--Bonnet (EsGB) black holes. Using the scalar and electromagnetic field equations in the vicinity of the EsGB black hole, we study nature of the effective potentials. The dependence of real and imaginary parts of the fundamental quasinormal modes on parameter $p$ (which is related to the Gauss--Bonnet coupling parameter $α$) for different values of multipole numbers $l$ are studied. We analyzed the effects of massive scalar fields on the EsGB black hole, which tells us the existence of quasi--resonances. In the eikonal regime, we find the analytical expression for the quasinormal frequency and show that the correspondence between the eikonal quasinormal modes and null geodesics is valid in the EsGB theory for the test fields. Finally, we study grey-body factors of the electromagnetic fields for different multipole numbers $l$, which deviates from Schwarzschild's black hole.
format Preprint
id arxiv_https___arxiv_org_abs_2312_16479
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quasinormal modes of Einstein--scalar--Gauss--Bonnet black holes
Paul, Prosenjit
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
In this paper, we investigate quasinormal modes of scalar and electromagnetic fields in the background of Einstein--scalar--Gauss--Bonnet (EsGB) black holes. Using the scalar and electromagnetic field equations in the vicinity of the EsGB black hole, we study nature of the effective potentials. The dependence of real and imaginary parts of the fundamental quasinormal modes on parameter $p$ (which is related to the Gauss--Bonnet coupling parameter $α$) for different values of multipole numbers $l$ are studied. We analyzed the effects of massive scalar fields on the EsGB black hole, which tells us the existence of quasi--resonances. In the eikonal regime, we find the analytical expression for the quasinormal frequency and show that the correspondence between the eikonal quasinormal modes and null geodesics is valid in the EsGB theory for the test fields. Finally, we study grey-body factors of the electromagnetic fields for different multipole numbers $l$, which deviates from Schwarzschild's black hole.
title Quasinormal modes of Einstein--scalar--Gauss--Bonnet black holes
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
url https://arxiv.org/abs/2312.16479