Dilatonic Cosmology Model in the ω ω' Plane

Physics

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Scientific paper

In dilatonic cosmology model, we study the behavior of attractor solution 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). This is a good method which is useful to the study of classifying the dynamical dark energy models including “freezing” and “thawing” model. We find that our model belongs to “freezing” type model classified in ω ω' plane. We show mathematically the property of attractor solutions which correspond to ω σ =-1, Ω σ =1. The present values of energy density parameter Ω_{σ0} , Ω_{m0} and Ω_{r0} are 0.715001, 0.284972 and 0.00002706 respectively, which meet the current observations well. Finally, we can obtain that the coupling between dilaton and matter affects the evolutive process of the Universe, but not the fate of the Universe.

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