Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields

TL;DR

This paper explores Noether symmetries in F(T) cosmology with scalar fields representing dark energy, analyzing models with quintessence and phantom fields, and discusses their quantum and astrophysical implications.

Contribution

It identifies specific forms of F(T) and scalar potentials that admit Noether symmetries in cosmological models with dark energy.

Findings

F(T) ~ T^{3/4} for both models

Scalar potential V(φ) ~ φ^2

Discussion of quantum and astrophysical implications

Abstract

In this paper, we investigate the Noether symmetries of $F(T)$ cosmology involving matter and dark energy. In this model, the dark energy is represented by a canonical scalar field with a potential. Two special cases for dark energy are considered including phantom energy and quintessence. We obtain $F(T)\sim T^{3/4},$ and the scalar potential $V(\phi)\sim\phi^2$ for both models of dark energy and discuss quantum picture of this model. Some astrophysical implications are also discussed.