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

Abstract

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 $-V^{\prime }/V$) 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.

revtex4, 16 pages, 3 figs; (v2) refs. added, published version

References in corpus (16)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• The Standard Model Higgs boson as the inflaton
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Inflation scenario via the Standard Model Higgs boson and LHC
• Top ten accelerating cosmological models
• Cosmological dynamics of Scalar--Tensor Gravity
• Inflation by non-minimal coupling
• A New Approach to Quintessence and a Solution of Multiple Attractors
• Extended Quintessence with non-minimally coupled phantom scalar field
• Determining Cosmological Parameters with Latest Observational Data
• The LambdaCDM model on the lead -- a Bayesian cosmological models comparison
• Coupling constant constraints in a nonminimally coupled phantom cosmology
• Latest inflation model constraints from cosmic microwave background measurements
• Can we ever distinguish between quintessence and a cosmological constant?
• Route to Lambda in conformally coupled phantom cosmology

Cited by in corpus (20)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Phantom evolution in power-law potentials
• Teleparallel quintessence with a nonminimal coupling to a boundary term
• Phantom dark energy with varying-mass dark matter particles: acceleration and cosmic coincidence problem
• Non-minimal quintessence and phantom with nearly flat potentials
• Energy conditions in generalized teleparallel gravity models
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Falsifying cosmological models based on a non-linear electrodynamics
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Scalar field cosmology in phase space
• Phase-space analysis of dark energy models in non-minimally coupled theories of gravity
• Dynamical system approach to running $\Lambda$ cosmological models
• Dynamical description of a quintom cosmological model nonminimally coupled with gravity
• Twister quintessence scenario
• Cosmological dynamics and bifurcation analysis of the general non-minimally coupled scalar field models
• Global Portraits of Inflation in Nonsingular Variables
• Global portraits of nonminimal inflation
• Three steps to accelerated expansion