Generalized Noether symmetry in f(T) gravity

TL;DR

This paper applies generalized Noether symmetry to f(T) gravity to determine the form of the function f(T) and explores its implications for cosmic acceleration.

Contribution

It introduces a method using generalized Noether theorem with vector fields to find specific forms of f(T) in teleparallel gravity.

Findings

Derived explicit forms of f(T) consistent with symmetry

Explored cosmological implications of the obtained f(T) models

Provided a symmetry-based approach to modified gravity theories

Abstract

We consider modified teleparallel gravity, (f(T) gravity), as a framework to explain the present accelerated expansion of the universe. The matter component is assumed to be cold dark matter. To find the explicit form of the function $f$, we utilize generalized Noether theorem and use generalized vector fields as variational symmetries of the corresponding Lagrangian. We study the cosmological consequences of the obtained results.