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Constraint damping in the Z4 formulation and harmonic gauge

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arxiv gr-qc/0504114 v2 pith:5YQ3LU5M submitted 2005-04-22 gr-qc

Carsten Gundlach , Jose M. Martin-Garcia , Gioel Calabrese , Ian Hinder This is my paper · ORCID
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keywords formulationconstrainteinsteinequationsharmonicgaugeaddingbrodbeck
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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.

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Cited by 3 Pith papers

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