Thick brane in mimetic $f(T)$ gravity
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866913240345214976 |
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| author | Guo, Wen-Di Zhong, Yi Yang, Ke Sui, Tao-Tao Liu, Yu-Xiao |
| author_facet | Guo, Wen-Di Zhong, Yi Yang, Ke Sui, Tao-Tao Liu, Yu-Xiao |
| contents | We apply the mimetic $f(T)$ theory into the thick brane model. We take the Lagrange multiplier formulation of the action and get the corresponding field equations of motion. We find solutions for different kinds of $f(T)$. Besides, we investigate the stability of the mimetic $f(T)$ brane by considering the tensor perturbations of the vielbein. Localization problem is also studied and it is shown that the four-dimensional gravity can be recovered for all the solutions. The effects of the torsion show that for the polynomial form of $f(T)$, the zero mode has a split compared with that of $f(T)=T$, but the situations for the exponential form of $f(T)$ are similar to that of $f(T)=T$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_05650 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Thick brane in mimetic $f(T)$ gravity Guo, Wen-Di Zhong, Yi Yang, Ke Sui, Tao-Tao Liu, Yu-Xiao High Energy Physics - Theory General Relativity and Quantum Cosmology We apply the mimetic $f(T)$ theory into the thick brane model. We take the Lagrange multiplier formulation of the action and get the corresponding field equations of motion. We find solutions for different kinds of $f(T)$. Besides, we investigate the stability of the mimetic $f(T)$ brane by considering the tensor perturbations of the vielbein. Localization problem is also studied and it is shown that the four-dimensional gravity can be recovered for all the solutions. The effects of the torsion show that for the polynomial form of $f(T)$, the zero mode has a split compared with that of $f(T)=T$, but the situations for the exponential form of $f(T)$ are similar to that of $f(T)=T$. |
| title | Thick brane in mimetic $f(T)$ gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1805.05650 |