Dilaton Coupled Quintessence Model in the $ω-ω'$ Plane

Abstract

In this paper, we regard dilaton in Weyl-scaled induced gravitational theory as a coupled quintessence. Based on this consideration, we investigate the dilaton coupled quintessence(DCQ) model in $ω-ω'$ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to $N$(the logarithm of the scale factor $a$). We find the scalar field equation of motion in $ω-ω'$ plane, and show mathematically the property of attractor solutions which correspond to $ω_σ\sim-1$, $Ω_σ=1$. Finally, we find that our model is a tracking one which belongs to "freezing" type model classified in $ω-ω'$ plane.