Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 23, Issue 16, Pages S405-S420Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/23/16/S07
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In the harmonic description of general relativity, the principal part of the Einstein equations reduces to a constrained system of ten curved space wave equations for the components of the spacetime metric. We use the pseudo-differential theory of systems which are strongly well posed in the generalized sense to establish the well posedness of constraint-preserving boundary conditions for this system when treated in a second-order differential form. The boundary conditions are of a generalized Sommerfeld type that is benevolent for numerical calculation.
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