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Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound

Alan D. Rendall
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Abstract

In many cases a nonlinear scalar field with potential $V$ can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for homogeneous spacetimes. It is shown that, under the assumption that $V$ has a strictly positive minimum, Wald's theorem on spacetimes with positive cosmological constant can be generalized to a wide class of potentials. In some cases detailed information on late-time asymptotics is obtained. Results on the behaviour in the past time direction are also presented.

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Alan D. Rendall. 2004-03-16. Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound. https://doi.org/10.1088/0264-9381%2F21%2F9%2F018

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