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arXiv · 0904.0414

Geometrization of metric boundary data for Einstein's equations

Jeffrey Winicour
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Abstract

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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Jeffrey Winicour. 2009-04-02. Geometrization of metric boundary data for Einstein's equations. https://doi.org/10.1007/s10714-009-0801-2

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