Title

Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

Document Type

Article

Publication Date

2-15-2007

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.

Comments

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