Constraint damping in the Z4 formulation and harmonic gauge
General Relativity and Quantum Cosmology
2020-05-13 v2
Abstract
We show that by adding suitable lower-order terms to the Z4 formulation of the Einstein equations, all constraint violations except constant modes are damped. This makes the Z4 formulation a particularly simple example of a lambda-system as suggested by Brodbeck et al. We also show that the Einstein equations in harmonic coordinates can be obtained from the Z4 formulation by a change of variables that leaves the implied constraint evolution system unchanged. Therefore the same method can be used to damp all constraints in the Einstein equations in harmonic gauge.
Cite
@article{arxiv.gr-qc/0504114,
title = {Constraint damping in the Z4 formulation and harmonic gauge},
author = {Carsten Gundlach and Jose M. Martin-Garcia and Gioel Calabrese and Ian Hinder},
journal= {arXiv preprint arXiv:gr-qc/0504114},
year = {2020}
}
Comments
Extended derivation of damping mechanism