Numerical simulations of Gowdy spacetimes on S2XS1XR
David Garfinkle
TL;DR
This paper presents numerical simulations of Gowdy spacetimes on S2XS1XR, revealing that their approach to singularity exhibits velocity term dominance with isolated spike features, similar to T3XR Gowdy spacetimes.
Contribution
It extends numerical analysis of Gowdy spacetimes to S2XS1XR topology, demonstrating singularity behavior and spike formation.
Findings
Singularity is asymptotically velocity term dominated.
Spiky features develop at isolated points.
Behavior resembles that of Gowdy T3XR spacetimes.
Abstract
Numerical simulations are performed of the approach to the singularity in Gowdy spacetimes on S2XS1XR. The behavior is similar to that of Gowdy spacetimes on T3XR. In particular, the singularity is asymptotically velocity term dominated, except at isolated points where spiky features develop.
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