1. Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
- Author
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Guo, Heng, Wang, Lang-Lang, Fu, Chun-E, and Xie, Qun-Ying
- Subjects
High Energy Physics - Theory ,General Relativity and Quantum Cosmology ,High Energy Physics - Phenomenology - Abstract
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
- Published
- 2019
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