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

Abstract

The Born–Infeld f(T) theory is reduced from the Born–Infeld determinantal gravity in Weitzenböck 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/(kr)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. Keywords: Braneworld, Born–Infeld-f(T) theory, Fermion resonance