Boundary conditions for hyperbolic formulations of the Einstein equations

Details Boundary conditions for hyperbolic formulations of the Einstein equations Boundary conditions for hyperbolic formulations of the Einstein equations

2003-02-10

arxiv.org/abs/gr-qc/0302032v2

Class.Quant.Grav.20:2379-2392,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages; text added and typesetting errors corrected; to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/20/11/327

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.

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