Phantom Divide Crossing with General Non-minimal Kinetic Coupling

Abstract

We propose a model of dark energy consists of a single scalar field with a general non-minimal kinetic couplings to itself and to the curvature. We study the cosmological dynamics of the equation of state in this setup. The coupling terms have the form ${\xi }_{1}Rf(\varphi ){\partial }_{\mu }\varphi {\partial }^{\mu }\varphi$ and ${\xi }_2{R}_{\mu \nu }f(\varphi ){\partial }^{\mu }\varphi {\partial }^{\nu }\varphi$ where ${\xi }_1$ and ${\xi }_2$ are coupling parameters and their dimensions depend on the type of function $f(\varphi )$. We obtain the conditions required for phantom divide crossing and show numerically that a cosmological model with general non-minimal derivative coupling to the scalar and Ricci curvatures can realize such a crossing.

12 pages, 4 figures. Accepted for publication in Gen. Rel. Grav. arXiv admin note: substantial text overlap with arXiv:1105.4967, arXiv:1201.1627, and with arXiv:astro-ph/0610092 by other authors

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Cited by in corpus (3)

• Cosmology with non-minimal derivative couplings: perturbation analysis and observational constraints
• Non-minimal Derivative Coupling Scalar Field and Bulk Viscous Dark Energy
• Stability and interacting $f(T,\mathcal{T})$ gravity with modified Chaplygin gas