Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

Babiuc, M. C.; Kreiss, H-O.; Winicour, Jeffrey

Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

Authors

Babiuc, M. C.

Kreiss, H-O.

Winicour, Jeffrey

Description

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