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Title: Scalar field cosmology in the energy phase-space-unified description of dynamics

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2]
  1. Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Krakow (Poland)
  2. Department of Theoretical Physics, Faculty of Philosophy, The John Paul II Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin (Poland)

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 ({kappa}{phi}-dot /6{sup 1/2}H, {kappa}V{sup 1/2}/3{sup 1/2}H, {kappa}{phi}/6{sup 1/2}). 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.

OSTI ID:
22156877
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
Country of Publication:
United States
Language:
English