Inhomogeneous de Sitter Solution with Scalar Field and Perturbations Spectrum

TL;DR

This paper presents an inhomogeneous de Sitter solution with a scalar field, explaining the origin of inhomogeneous perturbations spectrum during slow-roll inflation in a classical framework.

Contribution

It introduces a new inhomogeneous de Sitter solution with a scalar field, linking classical inhomogeneities to perturbation spectra.

Findings

Provides a classical origin for inhomogeneous perturbations spectrum.

Specializes the solution near FLRW models.

Describes scalar field dynamics during slow roll.

Abstract

We provide an inhomogeneous solution concerning the dynamics of a real self interacting scalar field minimally coupled to gravity in a region of the configuration space where it performs a slow rolling on a plateau of its potential. During the inhomogeneous de Sitter phase the scalar field dominant term is a function of the spatial coordinates only. This solution specialized nearby the FLRW model allows a classical origin for the inhomogeneous perturbations spectrum.