Numerical confirmations of joint spike transitions in $G_2$ cosmologies

Abstract

We produce numerical evidence that the joint spike transitions between Kasner eras of $G_2$ cosmologies are described by the non-orthogonally transitive $G_2$ spike solution. A new matching procedure is developed for this purpose.

18 pages, 5 figures

References in corpus (7)

• Spikes in the Mixmaster regime of G_2 cosmologies
• New explicit spike solution -- non-local component of the generalized Mixmaster attractor
• Spike behavior in the approach to spacetime singularities
• Demonstration of the spike phenomenon using the LTB models
• Generating spiky solutions of Einstein field equations with the Stephani transformation
• Cylindrical spikes
• Transition analysis of the non-OT $G_2$ stiff fluid spike solution