$f(T)$ cosmology via Noether symmetry

TL;DR

This paper uses Noether symmetry to identify viable $f(T)$ gravity models, leading to exact solutions that describe power-law cosmological expansion, thus providing a systematic approach to model selection in teleparallel gravity.

Contribution

It introduces a symmetry-based method to derive exact $f(T)$ cosmological solutions, avoiding phenomenological assumptions.

Findings

Identifies specific $f(T)$ models compatible with Noether symmetry.

Derives power-law expansion solutions for the universe.

Provides a systematic way to select viable $f(T)$ models.

Abstract

We consider Noether symmetry approach to find out exact cosmological solutions in $f(T)$-gravity. Instead of taking into account phenomenological models, we apply the Noether symmetry to the $f(T)$ gravity. As a result, the presence of such symmetries selects viable models and allow to solve the equations of motion. We show that the generated $f(T)$ leads to a power law expansion for the cosmological scale factor.