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Thick branes with inner structure in mimetic f(R) gravity
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Thick branes with inner structure in mimetic f(R) gravity
Thick branes with inner structure in mimetic f(R) gravity
Journal Article

Thick branes with inner structure in mimetic f(R) gravity

2021
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Overview
In this paper, we study the structure and gravitational resonances of thick branes generated by a mimetic scalar field in f(R) gravity. We obtain several typical thick brane solutions for f(R)=R+αR2. To study their stability, we analyze the tensor perturbation of the metric. It is shown that any thick brane model with df/dR>0 is stable and the graviton zero mode can be localized on the brane for each solution, which indicates that the four-dimensional Newtonian gravity can be restored. The effect of the parameter α on the gravitational resonances is studied. As a brane splits into multi sub-branes, the effective potential of the tensor perturbation will have an abundant inner structure with multi-wells, and this will lead to new phenomena of the gravitational resonances.