Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
Autor: | Guo, Heng, Wang, Lang-Lang, Fu, Chun-E, Xie, Qun-Ying |
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Rok vydání: | 2019 |
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Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.107.104017 |
Popis: | In this paper, the solutions of the pure geometric thick $f(R)$ brane are investigated. The formulation of $f(R)$ is chosen as $f(R)=\sum_{i=1}^{n}a_{i}R^{i}+\Lambda$. For the certain value of $n$, the brane solution can be calculated, and when $n=3$, $n=4$, and $n=10$, the thick brane solutions are presented. The solutions is stable under linear tensor fluctuation. The zero mode of gravity and scalar field can be localized on thick $f(R)$ branes naturally. The zero mode of vector field and left-chiral fermion can be localized on thick $f(R)$ branes by introducing the coupling with scalar curvature $R$ of spacetime, and the massive resonant modes can be quasilocalized on the brane with the large coupling coefficients. Comment: 22 pages, 18 figures, Phys. Rev. D 107, 104017,Published 8 May 2023 |
Databáze: | arXiv |
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