Bianchi VIII Empty Futures

TL;DR

This paper investigates whether the chaotic behavior near the initial singularity in Bianchi VIII models persists into the far future, using Hamiltonian formalism and orthonormal frames to analyze late-time dynamics.

Contribution

It provides a qualitative analysis of the late-time behavior of Bianchi VIII models, exploring the potential presence or absence of chaos in the far future.

Findings

Chaotic behavior may not persist in the far future of Bianchi VIII models.

Features of late-time vacuum Bianchi VIII models are described.

Insights into the future asymptote of inhomogeneous solutions are discussed.

Abstract

Using a qualitative analysis based on the Hamiltonian formalism and the orthonormal frame representation we investigate whether the chaotic behaviour which occurs close to the initial singularity is still present in the far future of Bianchi VIII models. We describe some features of the vacuum Bianchi VIII models at late times which might be relevant for studying the nature of the future asymptote of the general vacuum inhomogeneous solution to the Einstein field equations.