Thick branes in Born-Infeld determinantal gravity in Weitzenb\"ock spacetime

TL;DR

This paper explores thick brane solutions in Born-Infeld determinantal gravity within Weitzenb"ock spacetime, analyzing torsion effects on brane structure, graviton localization, and gravitational corrections, with implications for fundamental scale constraints.

Contribution

It provides analytic domain wall solutions in a higher-dimensional Born-Infeld gravity model, revealing how torsion influences brane thickness and graviton localization.

Findings

Brane thickness decreases with increasing torsion.

Massless graviton is localized with narrower width at higher torsion.

Massive gravitons contribute a correction to Newtonian gravity proportional to 1/(k r)^3.

Abstract

By adopting the idea of Born-Infeld electromagnetism, the Born-Infeld determinantal gravity in Weitzenb\"ock spacetime provides a way to smooth the Big Bang singularity at the classical level. We consider a thick braneworld scenario in the higher-dimensional extension of this gravity, and investigate the torsion effects on the brane structure and gravitational perturbation. For three particular parameter choices, analytic domain wall solutions are obtained. They have a similar brane configuration that the brane thickness becomes thinner as the spacetime torsion gets stronger. For each model, the massless graviton is localized on the brane with the width of localization decreasing with the enhancement of the spacetime torsion, while the massive gravitons propagate in the bulk and contribute a correction term proportional to ${1}/{(k r)^{3}}$ to the Newtonian potential. A sparsity constraint on the fundamental 5-dimensional gravitational scale is estimated from the gravitational experiment. Moreover, the parameter ranges in which the Kaluza-Klein gravitons are tachyonic free are analyzed.