Constraint damping in the Z4 formulation and harmonic gauge

Details Constraint damping in the Z4 formulation and harmonic gauge Constraint damping in the Z4 formulation and harmonic gauge

2005-04-22

arxiv.org/abs/gr-qc/0504114v2

Class.Quant.Grav. 22 (2005) 3767-3774

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Extended derivation of damping mechanism

Scientific paper

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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