Eur. Phys. J. C (2012) 72: 2075
https://doi.org/10.1140/epjc/s10052-012-2075-1

Regular Article - Theoretical Physics

Stability of a non-minimally conformally coupled scalar field in F(T) cosmology

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, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

^* e-mail: mjamil@camp.nust.edu.pk

Received: 20 April 2012
Revised: 27 June 2012
Published online: 18 July 2012

Abstract

In this paper, we introduce a non-minimally conformally coupled scalar field and dark matter in F(T) cosmology and study their dynamics. We investigate the stability and phase space behavior of the parameters of the scalar field by choosing an exponential potential and cosmologically viable form of F(T). We found that the dynamical system of equations admits two unstable critical points; thus no attractor solutions exist in this cosmology. Furthermore, taking into account the scalar field mimicking quintessence and phantom energy, we discuss the corresponding cosmic evolution for both small and large times. We investigate the cosmological implications of the model via the equation of state and deceleration parameters of our model and show that the late-time Universe will be dominated by phantom energy and, moreover, phantom crossing is possible. Our results do not lead to explicit predictions for inflation and the early Universe era.