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Main Authors: Tan, Qin, Long, Sheng, Deng, Weike, Jing, Jiliang
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.06947
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author Tan, Qin
Long, Sheng
Deng, Weike
Jing, Jiliang
author_facet Tan, Qin
Long, Sheng
Deng, Weike
Jing, Jiliang
contents In this work, we investigate the graviscalar quasinormal modes (QNMs) and their asymptotic tail behavior of a thick brane. Considering the scalar perturbations of the thick brane metric, we obtain the main equations of graviscalar Kaluza-Klein modes. Based on these equations, the frequencies of the graviscalar QNMs of the thick brane are obtained by the Wentzel-Kramers-Brillouin, asymptotic iteration, and numerical evolution methods. The results show that the scalar fluctuation of the thick brane has a series of discrete QNMs, similar to the tensor perturbation of the brane. These modes appear as decaying massive scalar particles in four-dimensional spacetime. We also studied in detail the late time tails of these QNMs and found that some modes have slowly decaying oscillatory tails that may be new sources of the gravitational wave backgrounds. Obviously, the QNMs contain the information of the brane and are characteristic modes of the thick brane.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06947
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Graviscalar quasinormal modes and asymptotic tails of a thick brane
Tan, Qin
Long, Sheng
Deng, Weike
Jing, Jiliang
General Relativity and Quantum Cosmology
In this work, we investigate the graviscalar quasinormal modes (QNMs) and their asymptotic tail behavior of a thick brane. Considering the scalar perturbations of the thick brane metric, we obtain the main equations of graviscalar Kaluza-Klein modes. Based on these equations, the frequencies of the graviscalar QNMs of the thick brane are obtained by the Wentzel-Kramers-Brillouin, asymptotic iteration, and numerical evolution methods. The results show that the scalar fluctuation of the thick brane has a series of discrete QNMs, similar to the tensor perturbation of the brane. These modes appear as decaying massive scalar particles in four-dimensional spacetime. We also studied in detail the late time tails of these QNMs and found that some modes have slowly decaying oscillatory tails that may be new sources of the gravitational wave backgrounds. Obviously, the QNMs contain the information of the brane and are characteristic modes of the thick brane.
title Graviscalar quasinormal modes and asymptotic tails of a thick brane
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2409.06947