Brane cosmology in teleparallel and $f(T)$ gravity

TL;DR

This paper explores brane-world cosmology within teleparallel and $f(T)$ gravity frameworks, revealing new solutions with evolving branes and constant five-dimensional radius, differing from standard teleparallel cosmology.

Contribution

It introduces novel solutions for brane cosmology in $f(T)$ gravity with constant torsion, expanding understanding of higher-dimensional models.

Findings

New solutions with constant five-dimensional radius

Cosmologically evolving brane in $f(T)$ gravity

Distinct cosmology from standard teleparallel models

Abstract

We consider the cosmology of a brane-world scenario in the framework of teleparallel and $f(T)$ gravity in a way that matter is localized on the brane. We show that the cosmology of such branes is different from the standard cosmology in teleparallelism. In particular, we obtain a class of new solutions with a constant five-dimensional radius and cosmologically evolving brane in the context of constant torsion $f(T)$ gravity.