Geometrization of metric boundary data for Einstein's equations

Winicour, Jeffrey

doi:10.1007/s10714-009-0801-2

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Geometrization of metric boundary data for Einstein's equations

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Winicour, Jeffrey
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
Max Planck Society;

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Winicour, J. (2009). Geometrization of metric boundary data for Einstein's equations. General Relativity and Gravitation, 41, 1909-1926. doi:10.1007/s10714-009-0801-2.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-6491-7

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.