A symmetry-breaking mechanism for the Z4 general-covariant evolution system
Abstract
The general-covariant Z4 formalism is further analyzed. The gauge conditions are generalized with a view to Numerical Relativity applications and the conditions for obtaining strongly hyperbolic evolution systems are given both at the first and the second order levels. A symmetry-breaking mechanism is proposed that allows one, when applied in a partial way, to recover previously proposed strongly hyperbolic formalisms, like the BSSN and the Bona-Mass\'o ones. When applied in its full form, the symmetry breaking mechanism allows one to recover the full five-parameter family of first order KST systems. Numerical codes based in the proposed formalisms are tested. A robust stability test is provided by evolving random noise data around Minkowski space-time. A strong field test is provided by the collapse of a periodic background of plane gravitational waves, as described by the Gowdy metric.
Keywords
Cite
@article{arxiv.gr-qc/0307067,
title = {A symmetry-breaking mechanism for the Z4 general-covariant evolution system},
author = {C. Bona and T. Ledvinka and C. Palenzuela and M. Zacek},
journal= {arXiv preprint arXiv:gr-qc/0307067},
year = {2009}
}
Comments
figures added, text changed, accepted in PRD