Article
Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations
Physics Faculty Research
Document Type
Article
Publication Date
2-15-2007
Disciplines
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.
Citation Information
M.C. Babiuc, H-O. Kreiss, and J. Winicour. (2007) Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations. Phys. Rev. D, 75(4):044002–044002(13).
The recommended citation is for the version of record published by the American Physical Society. The version linked to here is the pre-print posted on arXiv. The citation for this version is: Babiuc, M. C., Kreiss, H. O., & Winicour, J. (2006). Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations. arXiv preprint gr-qc/0612051. http://arxiv.org/pdf/gr-qc/0612051v1.pdf.
© 2007 The American Physical Society