Dilaton Coupled Quintessence Model in the $\omega-\omega'$ Plane

Z. G. Huang; H. Q. Lu; W. Fang

arXiv:hep-th/0610018·hep-th·November 26, 2008

Dilaton Coupled Quintessence Model in the $\omega-\omega'$ Plane

Z. G. Huang, H. Q. Lu, W. Fang

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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.

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