k-essence in the DGP brane-world cosmology

Abstract

We analyse a DGP brane filled with a k-essence field and assume the k-field evolving linearly with the cosmic time of the brane. We then solve analytically the Friedmann equation and deduce the different behaviour of the brane at the low and the high energy regimes. The asymptotic behaviour can be quite different involving accelerating branes, big bangs, big crunches, big rips or quiescent singularities. The latter correspond to a type of sudden singularity.

6 pages, RevTeX 4-1. References added. Version to appear in PRD

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• $K$-essence model from the mechanical approach point of view: coupled scalar field and the late cosmic acceleration
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Holographic dark energy in the DGP model
• Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
• Thawing k-essence dark energy in the PAge space
• Logamediate inflation in DGP cosmology driven by a non-canonical scalar field
• Scalar perturbations of Galileon cosmologies in the mechanical approach within the late Universe