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Published May 1, 2009 | Published
Book Section - Chapter Open

Implementation of Absorbing Boundary Conditions for the Einstein Equations


Based on a recent study of the linearized Bianchi equations by Buchman and Sarbach, we construct and implement a hierarchy of absorbing boundary conditions for the Einstein equations in generalized harmonic gauge. As a test problem, we demonstrate that we can evolve multipolar gravitational waves without any spurious reflections at linear order in perturbation theory.

Additional Information

© 2009 American Institute of Physics. We thank James Bardeen, Edvin Deadman, Lee Lindblom, Richard Matzner, Olivier Sarbach, John Stewart, and Manuel Tiglio for insightful suggestions and discussions during the course of this work, and Keith Matthews for use of and help with his ODE integration code. The numerical simulations presented here were performed using the Spectral Einstein Code (SpEC) developed at Caltech and Cornell primarily by Larry Kidder, Harald Pfeiffer and Mark Scheel. OR gratefully acknowledges a travel grant from the Gravitational Waves Section of the European Network of Theoretical Astroparticle Physics / ILIAS to attend this conference, as well as a Research Fellowship at King's College, Cambridge. This work was supported in part by grants to Caltech from the Sherman Fairchild Foundation and the Brinson Foundation, by NSF grants DMS-0553302, PHY-0601459, PHY-0652995, and by NASA grant NNG05GG52G. LTB was also supported by grants NSF PHY 0354842 and NASA NNG 04GL37G to the University of Texas at Austin.

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