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High Energy Physics - Theory

arXiv:1805.05650 (hep-th)
[Submitted on 15 May 2018 (v1), last revised 22 Apr 2022 (this version, v3)]

Title:Thick brane in mimetic $f(T)$ gravity

Authors:Wen-Di Guo, Yi Zhong, Ke Yang, Tao-Tao Sui, Yu-Xiao Liu
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Abstract: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 $f(T)=T$.
Comments: 7 pages, 6 figures
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1805.05650 [hep-th]
  (or arXiv:1805.05650v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.05650
Journal reference: Phys.Lett.B 800 (2020) 135099
Related DOI: https://doi.org/10.1016/j.physletb.2019.135099

Submission history

From: Yu-Xiao Liu [view email]
[v1] Tue, 15 May 2018 08:59:02 UTC (755 KB)
[v2] Fri, 1 Jun 2018 02:50:02 UTC (751 KB)
[v3] Fri, 22 Apr 2022 14:49:54 UTC (1,222 KB)
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