Spikes in the Mixmaster regime of G_2 cosmologies

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.

arXiv commentMinor corrections. Matches the published version

References in corpus (11)

• Numerical Investigation of Cosmological Singularities
• General Relativistic 1+3 Orthonormal Frame Approach Revisited
• Numerical simulations of generic singuarities
• Phenomenology of the Gowdy Universe on $T^3\times R$
• Manufacture of Gowdy spacetimes with spikes
• Oscillatory approach to the singularity in vacuum spacetimes with $T^2$ isometry
• Asymptotic silence of generic cosmological singularities
• Dynamical systems approach to G2 cosmology
• New explicit spike solution -- non-local component of the generalized Mixmaster attractor
• The Gowdy T3 Cosmologies revisited
• High velocity spikes in Gowdy spacetimes

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