Structures arising in the asymptotic dynamics of the Bianchi IX model

TL;DR

This paper analyzes the asymptotic behavior of Bianchi IX spacetime using Hamiltonian methods, revealing new phase space structures called wiggles that differ from known spikes.

Contribution

It introduces the concept of wiggles as novel structures in the phase space of Bianchi IX models, expanding understanding of their asymptotic dynamics.

Findings

Identification of wiggles in phase space

Wiggles differ from known spikes in gravitational singularities

Potential foundation for quantum-level analysis

Abstract

We present the analyses of the asymptotic evolution of the general Bianchi IX spacetime using Hamiltonian formulation. The dynamics reveals the existence of special structures, which we call wiggles, in the physical phase space. The wiggles are different from the spikes known in the context of evolution of some spacetime models towards gravitational singularities. Our results may be used as starting point in the examination of wiggles at the quantum level.