Gravitational resonances on $f(R)$-brane

Abstract

In this paper, we investigate various $f(R)$-brane models and compare their gravitational resonance structures with the corresponding general relativity (GR)-branes. {Starting from some known GR-brane solutions}, we derive thick $f(R)$-brane solutions such that the metric, scalar field, and scalar potential coincide with those of the corresponding GR-branes. {We find that for branes generated by a single or several canonical scalar fields, there is no obvious distinction between the GR-branes and corresponding $f(R)$-branes in terms of gravitational resonance structure.} Then we discuss the branes generated by K-fields. In this case, there could exist huge differences between GR-branes and $f(R)$-branes.

17 pages, 14 figures, published version

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• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Localization of Gravitino Field on $f(R)$ Thick Branes
• Gravitational resonances in mimetic thick branes
• Linearization of a warped $f(R)$ theory in the higher-order frame
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• Smooth braneworld in $6$-dimensional asymptotically AdS spacetime
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• Multi-kink brane in Gauss-Bonnet gravity and its stability
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• Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
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