Quintessence and phantom cosmology with non-minimal derivative coupling

Abstract

We investigate cosmological scenarios with a non-minimal derivative coupling between the scalar field and the curvature, examining both the quintessence and the phantom cases in zero and constant potentials. In general, we find that the universe transits from one de Sitter solution to another, determined by the coupling parameter. Furthermore, according to the parameter choices and without the need for matter, we can obtain a Big Bang, an expanding universe with no beginning, a cosmological turnaround, an eternally contracting universe, a Big Crunch, a Big Rip avoidance and a cosmological bounce. This variety of behaviors reveals the capabilities of the present scenario.

8 pages, 8 figures

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• Inflation driven by scalar field with non-minimal kinetic coupling with Higgs and quadratic potentials
• Non-minimal kinetic coupling and Chaplygin gas cosmology
• Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
• Stability analysis in Modified Non-Local Gravity
• Dynamics of entropy perturbations in assisted dark energy with mixed kinetic terms