Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-11-10
JCAP 0901:039,2009
Astronomy and Astrophysics
Astrophysics
revtex4, 16 pages, 3 figs; (v2) refs. added, published version
Scientific paper
10.1088/1475-7516/2009/01/039
In this letter we apply dynamical system methods to study all evolutional paths admissible for all initial conditions of the FRW cosmological model with a non-minimally coupled to gravity scalar field and a barotropic fluid. We choose "energy variables" as phase variables. We reduce dynamics to a 3-dimensional dynamical system for an arbitrary potential of the scalar field in the phase space variables. After postulating the potential parameter $\Gamma$ as a function of $\lambda$ (defined as $-V'/V$) we reduce whole dynamics to a 3-dimensional dynamical system and study evolutional paths leading to current accelerating expansion. If we restrict the form of the potential then we will obtain a 2-dimensional dynamical system. We use the dynamical system approach to find a new generic quintessence scenario of approaching to the de Sitter attractor which appears only for the case of non-vanishing coupling constant.
Hrycyna Orest
Szydlowski Marek
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