Constraints on inflation in closed universe

Abstract

We investigate inflation in closed Friedmann-Robertson-Walker universe filled with the scalar field with power-law potential. For a wide range of powers and parameters of the potential we numerically calculated the slow-roll parameters and scalar spectral index at the epoch when present Hubble scale leaves the horizon and at the end of inflation. Also we compare results of our numerical calculations with recent observation data. This allows us to set a constraint on the power of the potential: alpha < (3.5 - 4.5).

5 pages, 5 figures; extended version

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• Cosmological solutions in Einstein-Gauss-Bonnet gravity with static curved extra dimensions
• Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity
• Dynamics of the cosmological models with perfect fluid in Einstein-Gauss-Bonnet gravity: low-dimensional case
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: High-dimensional case
• Realistic compactification in spatially flat vacuum cosmological models in cubic Lovelock gravity: Low-dimensional case
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress