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Dynamics of Inflationary Universes with Positive Spatial Curvature

G. F. R. Ellis·W. Stoeger·P. McEwan·P. Dunsby
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Abstract

If the spatial curvature of the universe is positive, then the curvature term will always dominate at early enough times in a slow-rolling inflationary epoch. This enhances inflationary effects and hence puts limits on the possible number of e-foldings that can have occurred, independently of what happened before inflation began and in particular without regard for what may have happened in the Planck era. We use a simple multi-stage model to examine this limit as a function of the present density parameter $Ω_0$ and the epoch when inflation ends.

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G. F. R. Ellis, W. Stoeger, P. McEwan, P. Dunsby. 2002-02-19. Dynamics of Inflationary Universes with Positive Spatial Curvature. https://doi.org/10.1023/a%3A1020087004012

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