Ringing Thick Braneworld with Finite Extra Dimension
arxiv(2024)
Abstract
In this work, we investigate the quasinormal modes of the Poincaré thick
brane with a finite extra dimension. Unlike the case with an infinite extra
dimension, the gravitational effective potential exhibits three distinct shapes
within different ranges of the parameter n in the warp factor: harmonic
oscillator potential, Pöschl-Teller potential, and volcano-like potential. We
then study various types of perturbations in this system. Utilizing a
combination of analytical, semi-analytical, and numerical methods, we obtain
the quasinormal modes of the perturbed fields. Our findings reveal a set of
discrete quasinormal modes for the thick brane, similar to those of black
holes. Interestingly, when n=1, the quasinormal modes exhibit purely
imaginary behavior. This study may provide a new way to detect the existence of
extra dimensions.
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