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arXiv · gr-qc/0606113

Coupled quintessence and curvature-assisted acceleration

Roger Bieli
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Abstract

Spatially homogeneous models with a scalar field non-minimally coupled to the space-time curvature or to the ordinary matter content are analysed with respect to late-time asymptotic behaviour, in particular to accelerated expansion and isotropization. It is found that a direct coupling to the curvature leads to asymptotic de Sitter expansion in arbitrary exponential potentials, thus yielding a positive cosmological constant although none is apparent in the potential. This holds true regardless of the steepness of the potential or the smallness of the coupling constant. For matter-coupled scalar fields, the asymptotics are obtained for a large class of positive potentials, generalizing the well-known cosmic no-hair theorems for minimal coupling. In this case it is observed that the direct coupling to matter does not impact the late-time dynamics essentially.

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Roger Bieli. 2006-08-31. Coupled quintessence and curvature-assisted acceleration. https://doi.org/10.1088/0264-9381%2F23%2F20%2F018

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