Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings

Abstract

We study the autonomous system for a scalar-tensor model of dark energy with non-minimal coupling to curvature and non-minimal kinetic coupling to the Einstein tensor. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor solutions. Two functional forms for the coupling functions and the scalar potential were considered: power-law and exponential functions of the scalar field. For power-law couplings, the restrictions on stable quintessence and phantom solutions lead to asymptotic freedom regime for the gravitational interaction. The model with dimensionless kinetic coupling constant gives stable de Sitter solutions. For the exponential functions the stable quintessence, phantom or de Sitter solutions, allow asymptotic behaviors where the effective Newtonian coupling can reach either the asymptotic freedom regime or constant value. The phantom solutions could be realized without appealing to ghost degrees of freedom. Transient inflationary and radiation dominated phases can also be described.

30 pages, 2 figures, submitted to IJMPD. arXiv admin note: substantial text overlap with arXiv:1710.04760

References in corpus (17)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Speed of Gravitational Waves and the Fate of Scalar-Tensor Gravity
• hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System
• Realistic cosmological scenario with non-minimal kinetic coupling
• Consequences of a Cosmic Scalar with Kinetic Coupling to Curvature
• Theoretical Description Of GRB 160625B with Wind-to-ISM Transition and Implications for a Magnetized Outflow
• Mimicking dark matter in Horndeski gravity
• Sensitivity to Thermonuclear Reaction Rates in Modeling the Abundance Anomalies of NGC 2419
• Phase space analysis for a scalar-tensor model with kinetic and Gauss-Bonnet couplings

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• Conformal and kinetic couplings as two Jordan frames of the same theory
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• The speed of gravitational waves and power-law solutions in a scalar-tensor model