Inhomogeneity of Spatial Curvature for Inflation

Abstract

We study how the initial inhomogeneities of the spatial curvature affect the onset of inflation in the closed universe. We consider a cosmological model which contains a radiation and a cosmological constant. In order to treat the inhomogeneities in the closed universe, we improve the long wavelength approximation such that the non-small spatial curvature is tractable in the lowest order. Using the improved scheme, we show how large inhomogeneities of the spatial curvature prevent the occurrence of inflation.

17 pages, revtex, 6 figures included using epsf

References in corpus (3)

• Long wavelength iteration of Einstein's equations near a spacetime singularity
• Conditions for inflation in an initially inhomogeneous universe
• Application of Gradient Expansion to Inflationary Universe

Cited by in corpus (8)

• Review on stochastic approach to inflation
• Onset of inflation in inhomogeneous cosmology
• \bf $\delta M$ Formalism: A New Approach to Cosmological Perturbation Theory in Anisotropic Inflation
• Vacuum Bubble in an Inhomogeneous Cosmology
• Covariant Fluid Dynamics: a Long Wave-Length Approximation
• Perturbation Growth in Anisotropic Cosmologies
• Gradient expansion of superhorizon perturbations in G-inflation
• Hamilton-Jacobi approach to pre-big bang cosmology and the problem of initial conditions