Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
Abstract
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, second-order in space, harmonic formulation of the Einstein equations. The boundary conditions are tested using robust stability, linear and nonlinear waves, and are found to be both less reflective and constraint preserving than standard Sommerfeld-type boundary conditions.
- Publication:
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Classical and Quantum Gravity
- Pub Date:
- September 2008
- DOI:
- 10.1088/0264-9381/25/17/175020
- arXiv:
- arXiv:0802.3341
- Bibcode:
- 2008CQGra..25q5020S
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 18 pages, 7 figures, accepted in CQG