Thick brane in f(T,B) gravity

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}.

26 pages, 30 figures. Updated to match the published version to appear in Physical Review D. Some modifications in the text in order to clarify arguments but the results are unchanged

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• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
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• Minisuperspace Quantization of $f\left(T,B\right)$ Cosmology
• 5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity
• Dynamical features of $f(T,B)$ cosmology
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• Geometrically contracted structure in teleparallel $f(T)$ gravity
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• String-like brane splitting in the context of $f(T,B)$ gravity
• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• Torsion braneworlds in a tensor-vector gravity
• Thick branes in the scalar-tensor representation of $f(R,T)$ gravity