High velocity spikes in Gowdy spacetimes

Abstract

We study the behavior of spiky features in Gowdy spacetimes. Spikes with velocity initially high are, generally, driven to low velocity. Let n be any integer greater than or equal to 1. If the initial velocity of an upward pointing spike is between 4n-3 and 4n-1 the spike persists with final velocity between 1 and 2, while if the initial velocity is between 4n-1 and 4n+1, the spiky feature eventually disappears. For downward pointing spikes the analogous rule is that spikes with initial velocity between 4n-4 and 4n-2 persist with final velocity between 0 and 1, while spikes with initial velocity between 4n-2 and 4n eventually disappear.

discussion of constraints added. Accepted for publication in Phys. Rev. D

References in corpus (3)

• Manufacture of Gowdy spacetimes with spikes
• Oscillatory approach to the singularity in vacuum spacetimes with $T^2$ isometry
• Dynamical systems approach to G2 cosmology

Cited by in corpus (17)

• The past attractor in inhomogeneous cosmology
• Asymptotic silence of generic cosmological singularities
• Spikes in the Mixmaster regime of G_2 cosmologies
• Spike Oscillations
• New explicit spike solution -- non-local component of the generalized Mixmaster attractor
• Cosmological models from a dynamical systems perspective
• Gowdy phenomenology in scale-invariant variables
• Cosmology using numerical relativity
• The Dynamics of Inhomogeneous Cosmologies
• Do spikes persist in a quantum treatment of spacetime singularities?
• Asymptotics and singularities in cosmological models with positive cosmological constant
• The fine structure of Gowdy spacetimes
• Stiff fluid spike solutions from Bianchi type V seed solutions
• Generating Gowdy cosmological models
• Non-orthogonally transitive $G_2$ spike solution
• Generating spiky solutions of Einstein field equations with the Stephani transformation
• Electrocardiogram of the Mixmaster Universe