Late time cosmological scenarios from scalar field with Gauss Bonnet and non-minimal kinetic couplings

Abstract

We study a model of scalar field with kinetic terms non-minimally coupled to to the curvature, and the scalar field coupled to the Gauss Bonnet 4-dimensional invariant. A variety of solutions are found, giving rise to different cosmological scenarios. A unified description of early time matter (radiation) dominance with transitions to late time quintessence and phantom phases have been made. Among others, we found solutions unifying asymptotically the early power law behavior and late time cosmological constant. Solutions of Chaplygin gas and generalized Chaplygin gas cosmologies have also been found.

25 pages

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Cited by in corpus (12)

• Cosmology with nonminimal kinetic coupling and a power-law potential
• Dark Energy from Gauss-Bonnet and non-minimal couplings
• Cosmology with nonminimal kinetic coupling and a Higgs-like potential
• Luminal Propagation of Gravitational Waves in Scalar-tensor Theories: The Case for Torsion
• General dynamical properties of cosmological models with nonminimal kinetic coupling
• A connection between linearized Gauss-Bonnet gravity and classical electrodynamics
• Quintessential and phantom power-law solutions in scalar tensor model of dark energy
• Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings
• Phase space analysis for a scalar-tensor model with kinetic and Gauss-Bonnet couplings
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
• A connection between linearized Gauss-Bonnet gravity and classical electrodynamics II: Complete dual formulation
• Cosmology in a model with Lagrange multiplier, and Gauss-Bonnet and non-minimal kinetic couplings