Teleparallel gravity: Effects of torsion in 6D braneworlds

TL;DR

This paper explores how teleparallel $f(T)$ gravity influences the structure and stability of 6D braneworld models, revealing torsion-induced effects on gravitational localization and perturbations.

Contribution

It introduces a codimension two axisymmetric braneworld model governed by $f(T)$ gravity, highlighting torsion's role in brane splitting and gravitational perturbation modifications.

Findings

Torsion induces a phase transition in the brane structure.

Torsion creates potential wells that localize the massless graviton mode.

A stable tower of massive modes persists in the bulk.

Abstract

Braneworld models are interesting theoretical and phenomenological frameworks to search for new physics beyond the standard model of particles and cosmology. In this work, we discuss braneworld models whose gravitational dynamics are governed by teleparallel $f(T)$ gravities. Here, we emphasize a codimension two axisymmetric model, also known as a string-like brane. Likewise, in the 5D domain-walls models, the $f(T)$ gravitational modification leads to a phase transition on the perfect fluid source providing a brane-splitting mechanism. Furthermore, the torsion changes the gravitational perturbations. The torsion produces new potential wells inside the brane core leading to a massless mode more localized around the ring structures. In addition, the torsion keeps a gapless non-localizable and a stable tower of massive modes in the bulk.