Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

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.

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

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