  In this work, we study the gravitational quasinormal modes of the thick brane
in Rastall gravity. Using the asymptotic iteration and direct integration
methods, we solve the quasinormal frequencies of the Rastall thick brane. We
also obtained the waveforms of these quasinormal modes through numerical
evolution. The results indicate that although the Rastall thick brane lacks a
bound zero mode, when the Rastall parameter $\lambda\gtrsim0$, a long-lived
quasinormal mode appears. This long-lived quasinormal mode may restore the
four-dimensional effective Newtonian potential on the brane on a large scale.
This may provide a new perspective for the localization of gravity on thick
branes, that a thick brane does not necessarily require the gravity to be
localized, perhaps quasi-localized is sufficient.
