Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field

Abstract

In this paper, we investigate the braneworld scenario in $f(T)$ gravity with a $K$-field as the background field. We consider various different specific forms of $f(T)$ gravity and $K$-field, and find a general way to construct the braneworld model. Based on our solutions, the split of branes is investigated. Besides, the stability of the braneworld is studied by investigating the tensor perturbation of the vielbein.

arXiv commentv3: 11 pages, 6 figures, updated version, accepted by PRD

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• Thick brane in f(T,B) gravity
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• Braneworlds in $f(Q)$ gravity
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
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• $f(T)$ Cosmology with Nonzero Curvature
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• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• More on Bianchi I spacetimes and f(T) gravity