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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 441602.0, MPI für Gravitationsphysik / Astrophysical Relativity
Geometrization of metric boundary data for Einstein's equations
Authors:Winicour, Jeffrey
Date of Publication (YYYY-MM-DD):2009
Title of Journal:General Relativity and Gravitation
Volume:41
Start Page:1909
End Page:1926
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:LOCALID:arXiv:0904.0414
DOI:10.1007/s10714-009-0801-2
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0904.0414v1.pdf  [192,00 Kb] [Comment:arXiv:0904.0414v1 [gr-qc]]  
 
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