Boundary conditions for hyperbolic formulations of the Einstein equations
arXiv:gr-qc/0302032 · doi:10.1088/0264-9381/20/11/327
Abstract
In regards to the initial-boundary value problem of the Einstein equations, we argue that the projection of the Einstein equations along the normal to the boundary yields necessary and appropriate boundary conditions for a wide class of equivalent formulations. We explicitly show that this is so for the Einstein-Christoffel formulation of the Einstein equations in the case of spherical symmetry.
15 pages; text added and typesetting errors corrected; to appear in Classical and Quantum Gravity
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