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arXiv · 2101.10054

Thick brane in f(T,B) gravity

A. R. P. Moreira·J. E. G. Silva·F. C. E. Lima·C. A. S. Almeida
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Abstract

In this paper, we explore the five-dimensional f(T,B) teleparallel modified gravity with f_1(T,B)=T+k_1B^{n_1} and f_2(T,B)=B+k_2T^{n_2} in the brane scenario. Asymptotically, the bulk geometry converges to an AdS_5 spacetime whose cosmological constant is produced by parameters that control torsion and boundary term. The analysis of the energy density condition reveals a splitting brane process satisfying the weak and strong energy conditions for some values of the parameters n_{1,2} and k_{1,2}. In addition, we investigate the behavior of the gravitational perturbations in this scenario. In the bulk, the torsion keeps a gapless non-localizable, and stable tower of massive modes. Inside the brane core, the torsion produces new barriers and potential wells, leading to small amplitude massive modes and a massless mode localized for some values of the parameters n_{1,2} and k_{1,2}.

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A. R. P. Moreira, J. E. G. Silva, F. C. E. Lima, C. A. S. Almeida. 2021-01-25. Thick brane in f(T,B) gravity. https://doi.org/10.1103/physrevd.103.064046

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