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

TL;DR

This paper explores braneworld models within $f(T)$ gravity incorporating a noncanonical scalar field, analyzing different forms of $f(T)$ and $K$-field, and examining brane splitting and stability through tensor perturbations.

Contribution

It introduces a general method to construct braneworld models in $f(T)$ gravity with a $K$-field and studies their stability and brane splitting behavior.

Findings

Constructed various braneworld solutions in $f(T)$ gravity with $K$-field.

Analyzed brane splitting phenomena in these models.

Assessed stability via tensor perturbations.

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.