High velocity spikes in Gowdy spacetimes
General Relativity and Quantum Cosmology
2009-11-10 v2
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.
Cite
@article{arxiv.gr-qc/0303017,
title = {High velocity spikes in Gowdy spacetimes},
author = {David Garfinkle and Marsha Weaver},
journal= {arXiv preprint arXiv:gr-qc/0303017},
year = {2009}
}
Comments
discussion of constraints added. Accepted for publication in Phys. Rev. D