Tensor perturbations of $f(R)$-branes

Details Tensor perturbations of $f(R)$-branes Tensor perturbations of $f(R)$-branes

2010-10-18

arxiv.org/abs/1010.3478v4

Phys.Lett.B699:398-402,2011

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 figures, improved version, accepted by PLB

Scientific paper

10.1016/j.physletb.2011.04.037

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.

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