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arXiv · 2604.07858

Quasinormal modes of the thick braneworld in $f(T)$ gravity

Zi-Jie Li·Hai-Long Jia·Qin Tan·Wen-Di Guo
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Abstract

We investigate the quasinormal modes (QNMs) of a thick brane model in $f(T)$ gravity with $f(T) = T + \alpha T^2$. Requiring the energy density to remain positive and the scalar field to be real constrains the parameter $\alpha$ to the range $[-\frac{7}{48},\frac{1}{48}]$. Within this allowed region, we find that the parameter $\alpha$ can induce a brane-splitting structure. The quasinormal frequencies of the system are computed using both the asymptotic iteration method and the Bernstein spectral method. The two approaches show good agreement in the low-overtone regime. For $\alpha<0$, the decay rate of the first QNM decreases as $|\alpha|$ increases, whereas higher overtones exhibit the opposite behavior. To further examine the influence of model parameters on the QNM spectrum, we also perform numerical time-domain evolution of perturbations, whose results are consistent with the frequency-domain analysis. Our results provide a concrete example of quasinormal spectra in thick brane models within $f(T)$ gravity and may offer useful insights for future observational tests of extra dimensions.

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Zi-Jie Li, Hai-Long Jia, Qin Tan, Wen-Di Guo. 2026-04-09. Quasinormal modes of the thick braneworld in $f(T)$ gravity. https://arxiv.org/abs/2604.07858

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