paper

Problems which are well-posed in a generalized sense with applications to the Einstein equations

arXiv:gr-qc/0602051 · doi:10.1088/0264-9381/23/16/S07

Abstract

In the harmonic description of general relativity, the principle part of Einstein equations reduces to a constrained system of 10 curved space wave equations for the components of the space-time metric. We use the pseudo-differential theory of systems which are well-posed in the generalized sense to establish the well-posedness of constraint preserving boundary conditions for this system when treated in second order differential form. The boundary conditions are of a generalized Sommerfeld type that is benevolent for numerical calculation.

Final version to appear in Classical and Qunatum Gravity

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