New Issues in the Inflationary Scenario

TL;DR

This paper reviews the inflationary phase in the universe, focusing on inhomogeneous solutions with scalar fields, and applies these to specific potentials and metrics to explore classical origins of perturbations.

Contribution

It introduces inhomogeneous cosmological solutions with scalar fields during inflation, extending the standard homogeneous models to include spatial variations.

Findings

Inhomogeneous de Sitter solutions with scalar fields depend on spatial coordinates.

Application to Coleman-Weinberg potential demonstrates specific inhomogeneous behaviors.

Framework suggests a classical origin for perturbation spectra in inflation.

Abstract

We briefly review the arising of an inflationary phase in the Universe evolution in order to discuss an inhomogeneous cosmological solution in presence of a real self interacting scalar field minimally coupled to gravity in the region of a slow rolling potential plateau. During the inhomogeneous de Sitter phase the scalar field dominant term is a function of the spatial coordinates only. We apply this generic solution to the Coleman-Weinberg potential and to the Lemaitre-Tolman metric. This framework specialized nearby the FLRW model allows a classical origin for the inhomogeneous perturbations spectrum.