Asymptotics of LRS Bianchi type I cosmological models with elastic matter

TL;DR

This paper investigates the asymptotic behavior of LRS Bianchi type I cosmological models with elastic matter, revealing distinct oscillatory and isotropization behaviors compared to perfect fluid models.

Contribution

It demonstrates that elastic matter causes fundamentally different dynamics in Bianchi I models, especially near singularities and in future evolution, even when elastic matter closely resembles perfect fluids.

Findings

Elastic solutions exhibit oscillatory approach to singularity.

Future isotropization rates differ from perfect fluid models.

Elastic matter significantly alters cosmological dynamics.

Abstract

In this paper we report on results in the study of spatially homogeneous cosmological models with elastic matter. We show that the behavior of elastic solutions is fundamentally different from that of perfect fluid solutions already in the case of locally rotationally symmetric (LRS) Bianchi type I models; this is true even when the elastic material resembles a perfect fluid very closely. In particular, the approach to the initial singularity is characterized by an intricate oscillatory behavior of the scale factors, while the future asymptotic behavior is described by isotropization rates that differ significantly from those of perfect fluids.