Sound from extra dimension: quasinormal modes of thick brane
Abstract
In this work, we investigate the quasinormal modes of a thick brane system. Considering the transverse-traceless tensor perturbation of the brane metric, we obtain the Schr\"odinger-like equation of the Kaluza-Klein modes of the tensor perturbation. Then we use the Wentzel-Kramers-Brillouin approximation and the asymptotic iteration method to solve this Schr\"odinger-like equation. We also study the numeric evolution of an initial wave packet against the thick brane. The results show that there is a set of discrete quasinormal modes in the thick brane model. These quasinormal modes appear as the decaying massive gravitons for a brane observer. They are characteristic modes of the thick brane and can reflect the structure of the thick brane.
Keywords
Cite
@article{arxiv.2205.05255,
title = {Sound from extra dimension: quasinormal modes of thick brane},
author = {Qin Tan and Wen-Di Guo and Yu-Xiao Liu},
journal= {arXiv preprint arXiv:2205.05255},
year = {2024}
}
Comments
10 pages, 6 figures, improved version