Are gauge shocks really shocks?
General Relativity and Quantum Cosmology
2009-11-11 v2
Abstract
The existence of gauge pathologies associated with the Bona-Masso family of generalized harmonic slicing conditions is proven for the case of simple 1+1 relativity. It is shown that these gauge pathologies are true shocks in the sense that the characteristic lines associated with the propagation of the gauge cross, which implies that the name ``gauge shock'' usually given to such pathologies is indeed correct. These gauge shocks are associated with places where the spatial hypersurfaces that determine the foliation of spacetime become non-smooth.
Cite
@article{arxiv.gr-qc/0503030,
title = {Are gauge shocks really shocks?},
author = {Miguel Alcubierre},
journal= {arXiv preprint arXiv:gr-qc/0503030},
year = {2009}
}
Comments
7 pages, 5 figures, REVTEX 4. Revised version, including corrections suggested by referees