Eur. Phys. J. C (2012) 72: 2137
https://doi.org/10.1140/epjc/s10052-012-2137-4

Regular Article - Theoretical Physics

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

¹ Center for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
² Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan

^* e-mail: d.momeni@yahoo.com
^** e-mail: d.momeni@tmu.ac.ir

Received: 26 May 2012
Revised: 23 July 2012
Published online: 6 September 2012

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)∼T ^3/4, and the scalar potential V(ϕ)∼ϕ ² for both models of dark energy and discuss quantum picture of this model. Some astrophysical implications are also discussed.