Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms
General Relativity and Quantum Cosmology
2011-04-21 v2
Abstract
A class of dynamical shift conditions is shown to lead to a strongly hyperbolic evolution system, both in the Z4 and in the BSSN Numerical Relativity formalisms. This class generalizes the harmonic shift condition, where light speed is the only non-trivial characteristic speed, and it is contained into the multi-parameter family of minimal distortion shift conditions recently proposed by Lindblom and Scheel. The relationship with the analogous 'dynamical freezing' shift conditions used in black hole simulations discussed.
Keywords
Cite
@article{arxiv.gr-qc/0401019,
title = {Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms},
author = {C. Bona and C. Palenzuela},
journal= {arXiv preprint arXiv:gr-qc/0401019},
year = {2011}
}
Comments
text changed, accepted in PRD