Domain wall brane in a reduced Born-Infeld-$f(T)$ theory

TL;DR

This paper develops a braneworld model within a reduced Born-Infeld-$f(T)$ gravity framework, deriving an analytic domain wall solution, analyzing stability, and exploring gravity localization and fermion behavior.

Contribution

It introduces a new analytic domain wall solution in Born-Infeld-$f(T)$ gravity and studies gravity and fermion localization properties in this model.

Findings

Massless graviton is localized on the brane.

Continuous massive gravitons are non-localized, causing tiny corrections to Newtonian gravity.

Four-dimensional gravity is recovered as an effective infrared theory.

Abstract

The Born-Infeld $f(T)$ theory is reduced from the Born-Infeld determinantal gravity in Weitzenb\"ock spacetime. We investigate a braneworld scenario in this theory and obtain an analytic domain wall solution by utilizing the first-order formalism. The model is stable against the linear tensor perturbation. It is shown that the massless graviton is localized on the brane, but the continuous massive gravitons are non-localized and will generate a tiny correction with the behavior of ${1}/{(k r)^{3}}$ to the Newtonian potential. The four-dimensional teleparallel gravity is recovered as an effective infrared theory on the brane. As a physical application, we consider the (quasi-)localization property of spin-1/2 Dirac fermion in this model.