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Late-time oscillatory behaviour for self-gravitating scalar fields

Alan D. Rendall
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Abstract

This paper investigates the late-time behaviour of certain cosmological models where oscillations play an essential role. Rigorous results are proved on the asymptotics of homogeneous and isotropic spacetimes with a linear massive scalar field as source. Various generalizations are obtained for nonlinear massive scalar fields, $k$-essence models and $f(R)$ gravity. The effect of adding ordinary matter is discussed as is the case of nonlinear scalar fields whose potential has a degenerate zero.

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Alan D. Rendall. 2006-11-27. Late-time oscillatory behaviour for self-gravitating scalar fields. https://doi.org/10.1088/0264-9381%2F24%2F3%2F010

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