High velocity spikes in Gowdy spacetimes

Details High velocity spikes in Gowdy spacetimes High velocity spikes in Gowdy spacetimes

2003-03-04

arxiv.org/abs/gr-qc/0303017v2

Phys.Rev. D67 (2003) 124009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.67.124009

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.

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