Construction of N-body initial data sets in general relativity

James Isenberg; Justin Corvino; Piotr T. Chru\'sciel

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Construction of N-body initial data sets in general relativity

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arxiv 1004.1355 v1 pith:WPPSPHKY submitted 2010-04-08 gr-qc math.DG

Construction of N-body initial data sets in general relativity

Piotr T. Chru\'sciel , Justin Corvino , James Isenberg This is my paper

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keywords asymptoticallyconstructiondataeuclideangeneralgiveninitialrelativity

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Given a collection of N solutions of the (3+1) vacuum Einstein constraint equations which are asymptotically Euclidean, we show how to construct a new solution of the constraints which is itself asymptotically Euclidean, and which contains specified sub-regions of each of the N given solutions. This generalizes earlier work which handled the time-symmetric case, thus providing a construction of large classes of initial data for the many body problem in general relativity.

Construction of N-body initial data sets in general relativity

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