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We analyze the tensor perturbations of flat thick domain wall branes in f(R) gravity. Our results indicate that under the transverse and traceless gauge, the metric perturbations decouple from the perturbation of the scalar field. Besides, the perturbed equation reduces to the familiar Klein–Gordon equation for massless spin-2 particles only when the bulk curvature is a constant or when f(R)=R. As...
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