Isotropic cosmological singularities: other matter models

TL;DR

This paper explores the extension of existing results on isotropic cosmological singularities to various matter models, including scalar fields, massive particles, Yang-Mills plasma, and Einstein-Boltzmann matter.

Contribution

It generalizes previous work by analyzing the existence and uniqueness of cosmological models with data at singularities for new matter types.

Findings

Extended results to scalar fields and massive collisionless matter.

Analyzed models with Yang-Mills plasma and Einstein-Boltzmann matter.

Established conditions for removing singularities with these matter models.

Abstract

Isotropic cosmological singularities are singularities which can be removed by rescaling the metric. In some cases already studied (gr-qc/9903008, gr-qc/9903009, gr-qc/9903018) existence and uniqueness of cosmological models with data at the singularity has been established. These were cosmologies with, as source, either perfect fluids with linear equations of state or massless, collisionless particles. In this article we consider how to extend these results to a variety of other matter models. These are scalar fields, massive collisionless matter, the Yang-Mills plasma of Choquet-Bruhat, or matter satisfying the Einstein-Boltzmann equation.