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Phys. Rev. D 71, 064020 (2005) [22 pages]

Boundary conditions for the Einstein evolution system

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Lawrence E. Kidder1, Lee Lindblom2, Mark A. Scheel2, Luisa T. Buchman3, and Harald P. Pfeiffer2
1Center for Radiophysics and Space Research, Cornell University, Ithaca, New York 14853, USA
2Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125, USA
3Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA

Received 22 December 2004; published 18 March 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.064020
DOI:
10.1103/PhysRevD.71.064020
PACS:
04.25.Dm, 02.60.Cb, 04.20.Cv
 
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