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  Geometrization of metric boundary data for Einstein's equations

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-6491-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-6492-5
Genre: Journal Article

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0904.0414v1.pdf (Any fulltext), 192KB
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 Creators:
Winicour, Jeffrey1, 2, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24013              
2Max Planck Society, ou_persistent13              

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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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 Dates: 2009
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: eDoc: 441602
Other: arXiv:0904.0414
DOI: 10.1007/s10714-009-0801-2
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Title: General Relativity and Gravitation
Source Genre: Journal
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Pages: - Volume / Issue: 41 Sequence Number: - Start / End Page: 1909 - 1926 Identifier: -