If the potential V (φ) of the scalar field that drove inflation had a power-law tail at large φ, V ~ φ^-aplpha^, the mass density, ρphi_, associated with φ would act like a cosmological constant that decreases with time less rapidly than the mass densities of matter and radiation. If ρphi_ were appreciable at the present epoch it could help reconcile the low dynamical estimates of the mean mass density with the negligibly small space curvature preferred by inflation.
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P. J. E. Peebles
Bharat Ratra
The Astrophysical Journal
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Peebles et al. (Mon,) studied this question.
www.synapsesocial.com/papers/69dbea75f7e0c66ced836d9e — DOI: https://doi.org/10.1086/185100
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