Dynamics of Inflationary Universes with Positive Spatial Curvature

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 ${\Omega }_0$ and the epoch when inflation ends.

9 Pages RevTex4. Revised and updated

References in corpus (2)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Why Not Consider Closed Universes?

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