Genly Leon, Yoelsy Leyva, J. Socorro
We investigate the phase-space structure of the quintom dark energy paradigm in the framework of spatially flat and homogeneous universe. Considering arbitrary decoupled potentials, we find certain general conditions under which the the phantom dominated solution is late time attractor, generalizing previous results found for the case of exponential potential. Center Manifold Theory is employed to obtain sufficient conditions for the instability of de Sitter solution either with phantom or quintessence potential dominance. Another important issue is concerning the existence of a point corresponding to the standard quintessence dominated solution, which under certain condition on the potential, can mimic the dark matter behavior. This feature has important cosmological consequences to address de unified description of dark matter and dark energy in a single field.
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http://arxiv.org/abs/1208.0061
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