Boundary conditions for the Einstein evolution system

Creators: Kidder, Lawrence E.; Lindblom, Lee; Scheel, Mark A.; Buchman, Luisa T.; Pfeiffer, Harald P.

Abstract

New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from entering the computational domain through timelike boundaries, allow the simulation of isolated systems by preventing physical gravitational waves from entering the computational domain, and are designed to be compatible with the fixed-gauge evolutions used here. These new boundary conditions are shown to be effective in limiting the growth of constraints in 3D nonlinear numerical evolutions of dynamical black-hole spacetimes.

Additional Information

©2005 The American Physical Society (Received 22 December 2004; published 18 March 2005) We thank Olivier Sarbach, Saul Teukolsky, and Manuel Tiglio for helpful discussions concerning this work. Some of the computations for this project were performed with the Tungsten cluster at NCSA. This work was supported in part by NSF Grants No. PHY-0099568, No. PHY-0244906 and NASA Grants No. NAG5-10707, No. NAG5-12834 at Caltech, and NSF Grants No. PHY-0312072, No. PHY-0354631 at Cornell. L. T. B. was supported by the National Research Council at the Jet Propulsion Laboratory, California Institute of Technology.

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