Tensor perturbations of f(R)-branes

• DOI: 10.1016/j.physletb.2011.04.037
• Publication Date: 2011-04-24T19:26:36Z
• Authors: Yuan Zhong; Yu-Xiao Liu; Ke Yang
• Keywords: Massless particle

9 pages, 3 figures, improved version, accepted by PLB<br/>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 an application of our results, we consider the possibility of localizing gravity on some flat thick branes. The stability of these brane solutions is also shortly discussed.<br/>