Graviscalar quasinormal modes and asymptotic tails of a thick brane

Abstract

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.

10 pages, 5 figures, version to appear in Phys.Lett.B

References in corpus (18)

• Information Transfer with a Gravitating Bath
• Fermion localization and resonances on two-field thick branes
• Fermion localization on thick branes
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• f(R)-Brane
• Domain wall brane in squared curvature gravity
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Braneworld black holes
• Fermion localization on a split brane
• Asymptotic tails of massive gravitons in light of pulsar timing array observations
• Ringing the Randall-Sundrum braneworld: metastable gravity wave bound states
• Evolution of Brane-Localised Standard Model Fields in Gauss-Bonnet theory
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Sound from extra dimension: quasinormal modes of thick brane
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Characteristic modes of thick brane model: resonances and quasinormal modes
• Z2-Symmetric Thick Brane with Specific Warp Function
• Constant-roll Inflation in Brane Induced Gravity Cosmology