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

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) T3/4, and the scalar potential V(φ)φ2 for both models of dark energy and discuss quantum picture of this model. Some astrophysical implications are also discussed.

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