In 5D f(T, T_G) gravity, thick branes develop splitting and internal structure controlled by the coupling, while supporting a normalizable chiral fermion zero mode and modified resonant Kaluza-Klein states due to the torsional Gauss-Bonnet term.
Thick Brane Split Caused by Spacetime Torsion
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abstract
In this paper we apply the five-dimensional $f(T)$ gravity with $f(T)=T+k T^n$ to brane scenario to explore the solutions under a given warp factor, and we find that the analytic domain wall solution will be a double-kink solution when the geometric effect of spacetime torsion is strongly enhanced. We also investigate the localization of fermion fields on the split branes corresponding to the double-kink solution.
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Thick branes and fermion localization in five-dimensional $f(T,T_G)$ gravity
In 5D f(T, T_G) gravity, thick branes develop splitting and internal structure controlled by the coupling, while supporting a normalizable chiral fermion zero mode and modified resonant Kaluza-Klein states due to the torsional Gauss-Bonnet term.