Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields

TL;DR

This paper explores multidimensional anisotropic cosmological models with multiple scalar fields, revealing integrable cases, classical and quantum solutions, and phenomena like inflation and wormholes.

Contribution

It introduces new integrable models of multidimensional cosmology with multiple scalar fields, providing classical and quantum solutions including inflation and wormhole configurations.

Findings

Models exhibit Kasner-like behavior near singularity

Some solutions produce inflation from 'nothing'

Existence of classical and quantum wormholes with discrete spectra

Abstract

We consider anisotropic cosmological models with an universe of dimension 4 or more, factorized into n>1 Ricci-flat spaces, containing an m-component perfect fluid of m non-interacting homogeneous minimally coupled scalar fields under special conditions. We describe the dynamics of the universe: It has a Kasner-like behaviour near the singularity and isotropizes during the expansion to infinity. Some of the considered models are integrable, and classical as well as quantum solutions are found. Some solutions produce inflation from "nothing". There exist classical asymptotically anti-de Sitter wormholes, and quantum wormholes with discrete spectrum.