Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

Details Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

2006-12-08

arxiv.org/abs/gr-qc/0612051v1

Phys.Rev.D75:044002,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 17 figures, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.75.044002

The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new formulation of constraint-preserving boundary conditions of the Sommerfeld type for such systems has recently been proposed. We implement these boundary conditions in a nonlinear 3D evolution code and test their accuracy.

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