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arXiv · 1010.3478

Tensor perturbations of $f(R)$-branes

Yuan Zhong·Yu-Xiao Liu·Ke Yang
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Abstract

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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Yuan Zhong, Yu-Xiao Liu, Ke Yang. 2010-10-18. Tensor perturbations of $f(R)$-branes. https://doi.org/10.1016/j.physletb.2011.04.037

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