Classical dynamics of the Bianchi IX model with timelike singularity

TL;DR

This paper investigates the differences in classical dynamics between Bianchi IX models with timelike and cosmological singularities, highlighting how sign variations in their equations cause significant property changes.

Contribution

It provides a comparative analysis of Bianchi IX models with different singularity types, emphasizing the impact of sign differences on their dynamics.

Findings

Significant differences in properties due to sign changes

Distinct dynamical behaviors between timelike and cosmological singularities

Insights into classical Bianchi IX model dynamics

Abstract

We study the dynamics of the vacuum Bianchi IX model with timelike singularity and compare it with the dynamics of the Bianchi IX model with cosmological singularity. We show that differences in the signs of some terms in the set of equations specifying the dynamics of both spacetimes lead to significant differences in their properties.