Late-time oscillatory behaviour for self-gravitating scalar fields

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.

17 pages, additional references

References in corpus (8)

• Dynamics of $k$-essence
• Intermediate inflation and the slow-roll approximation
• Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound
• Asymptotic self-similarity breaking at late times in cosmology
• Cosmological models and centre manifold theory
• Future asymptotic expansions of Bianchi VIII vacuum metrics
• Non-tilted Bianchi VII_0 models - the radiation fluid
• Coupled quintessence and curvature-assisted acceleration

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