Spikes in the Mixmaster regime of G_2 cosmologies

TL;DR

This paper provides numerical evidence that spikes in the Mixmaster regime of G_2 cosmologies are transient, recurring, and support the idea of asymptotic non-local behavior, with higher order spikes splitting into simpler transitions.

Contribution

It demonstrates that spikes are transient and recurring in G_2 cosmologies, and shows higher order spike transitions split into first order ones, advancing understanding of Mixmaster dynamics.

Findings

Spikes are transient and recurring in G_2 cosmologies.

Higher order spike transitions split into first order transitions.

Supports the conjecture of asymptotic non-local behavior in Mixmaster regimes.

Abstract

We produce numerical evidence that spikes in the Mixmaster regime of G_2 cosmologies are transient and recurring, supporting the conjecture that the generalized Mixmaster behavior is asymptotically non-local where spikes occur. Higher order spike transitions are observed to split into separate first order spike transitions.