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arXiv · 1506.06458

Gravitational resonances on $f(R)$-brane

Hao Yu·Yuan Zhong·Bao-Min Gu·Yu-Xiao Liu
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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.

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Hao Yu, Yuan Zhong, Bao-Min Gu, Yu-Xiao Liu. 2016-04-14. Gravitational resonances on $f(R)$-brane. https://doi.org/10.1140/epjc%2Fs10052-016-4039-3

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