Dynamics of Inflationary Universes with Positive Spatial Curvature |
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Authors: | G F R Ellis W Stoeger P McEwan P Dunsby |
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Institution: | (1) Department of Applied Mathematics, University of Cape Town, Rondebosch, 7700 Cape Town, South Africa;(2) Erwin Schrödinger Institute, Vienna, Austria;(3) Vatican Observatory, Tucson, Arizona, USA |
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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 0 and the epoch when inflation ends. |
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Keywords: | Inflationary Universe closed model |
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