  In this work, thick branes in Rastall gravity are investigated. Three types
of maximally symmetric thick brane models are constructed and the linear tensor
perturbation is analyzed. In the flat brane model, the tensor modes of the
perturbation are either unstable or nonlocalizable for a nonvanishing Rastall
parameter. In the de Sitter brane model, only the ground state of the tensor
mode is localized. In the anti-de Sitter brane model, the number of the bound
tensor states is infinity. For both the de Sitter and anti-de Sitter brane
models, the condition of stability for the Rastall parameter is obtained.

General Relativity and Quantum Cosmology