Dark energy from scalar field with Gauss Bonnet and non-minimal kinetic coupling

Abstract

We study a model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, and additional coupling to the Gauss Bonnet 4-dimensional invariant. The model presents rich cosmological dynamics and some of its solutions are analyzed. A variety of scalar fields and potentials giving rise to power-law expansion have been found. The dynamical equation of state is studied for two cases, with and without free kinetic term . In both cases phenomenologically acceptable solutions have been found. Some solutions describe essentially dark energy behavior, and and some solutions contain the decelerated and accelerated phases.

21 pages

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• Non-minimal derivative coupling gravity in cosmology
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Tracing the cosmic history by Gauss-Bonnet gravity
• Thermodynamics of scalar-tensor theory with non-minimally derivative coupling
• Kinetically coupled dark energy
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• Exact solutions in a scalar-tensor model of dark energy
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