Inhomogeneity of Spatial Curvature for Inflation

TL;DR

This paper investigates how initial inhomogeneities in spatial curvature influence the initiation of inflation in a closed universe, revealing that large inhomogeneities can prevent inflation from occurring.

Contribution

It introduces an improved approximation method to analyze non-small spatial curvature in a closed universe with radiation and a cosmological constant.

Findings

Large inhomogeneities hinder the onset of inflation.

The improved scheme allows tractable analysis of significant spatial curvature.

Inhomogeneity levels determine whether inflation can start.

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.