Characteristic modes of thick brane model: resonances and quasinormal modes

TL;DR

This paper studies the characteristic gravitational modes of a thick brane model, analyzing quasinormal modes and resonances, revealing their close relationship and potential detectability in future experiments.

Contribution

It introduces a detailed analysis of gravitational quasinormal modes and resonances in a thick brane model using numerical methods, highlighting their connection and observational prospects.

Findings

Resonance oscillations match real parts of QNFs

Damping rates of resonances match imaginary parts of QNFs

QNM lifetimes could be detectable in future experiments

Abstract

In this work, we investigate the gravitational quasinormal modes (QNMs) and the gravitational resonances of a thick brane model. We use the asymptotic iteration and shooting methods to obtain the quasinormal frequencies (QNFs) of the brane. On the other hand, we investigate the resonances and their evolution numerically. The results show that the oscillations of the resonances equal (up to numerical error) to the real parts of the QNFs, while the damping rates of the resonances equal to the imaginary parts of the QNFs. The QNMs and resonances, both of them can be regarded as the characteristic modes of the thick brane, are closely related with each other. In addition, the lifetime of these QNMs could be very long, perhaps they might be detected in future accelerator or gravitational wave detector.