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Journal Article

Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

MPS-Authors

Kreiss,  H.-O.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour,  Jeffrey
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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PRD044002.pdf
(Publisher version), 430KB

0612051v1.pdf
(Preprint), 332KB

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Citation

Babiuc, M. C., Kreiss, H.-O., & Winicour, J. (2007). Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations. Physical Review D, 75: 044002. Retrieved from http://arxiv.org/abs/gr-qc/0612051.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4A20-2
Abstract
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.