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

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

2006-02-13

arxiv.org/abs/gr-qc/0602051v3

Class.Quant.Grav.23:S405-S420,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version to appear in Classical and Qunatum Gravity

Scientific paper

10.1088/0264-9381/23/16/S07

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.

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