Geometrization of metric boundary data for Einstein's equations

Details Geometrization of metric boundary data for Einstein's equations Geometrization of metric boundary data for Einstein's equations

2009-04-02

arxiv.org/abs/0904.0414v1

Gen.Rel.Grav.41:1909-1926,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Article to appear in Gen. Rel. Grav. volume in memory of Juergen Ehlers

Scientific paper

10.1007/s10714-009-0801-2

The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A well-posed initial boundary value problem based upon a new formulation of constraint-preserving boundary conditions of the Sommerfeld type has recently been established for such systems. In this paper these boundary conditions are recast in a geometric form. This serves as a first step toward their application to other metric formulations of Einstein's equations.

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