Tensor perturbations of $f(R)$-branes

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.

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

References in corpus (12)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Inflation scenario via the Standard Model Higgs boson and LHC
• Junction Conditions in f(R) Theories of Gravity
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermion localization on thick branes
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• f(R)-Brane
• Gravity localization on thick branes: a numerical approach
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Generalized Israel Junction Conditions for a Fourth-Order Brane World
• Bulk Matters on a GRS-Inspired Braneworld

Cited by in corpus (1)

• Domain wall brane in squared curvature gravity