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Published May 1, 2009 | Version Published
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Implementation of Absorbing Boundary Conditions for the Einstein Equations

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Abstract

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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Identifiers

Eprint ID
66668
Resolver ID
CaltechAUTHORS:20160504-165114781

Funding

European Network of Theoretical Astroparticle Physics
King's College, Cambridge
Sherman Fairchild Foundation
Brinson Foundation
NSF
DMS-0553302
NSF
PHY-0601459
NSF
PHY-0652995
NASA
NNG05GG52G
NSF
PHY-0354842
NASA
NNG 04GL37G

Dates

Created
2016-05-05
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Updated
2021-11-11
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Caltech Custom Metadata

Caltech groups
TAPIR , Physics Department
Series Name
AIP Conference Proceedings
Series Volume or Issue Number
1122