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Pré-Publication, Document De Travail Année : 2009

Construction of N-body time-symmetric initial data sets in general relativity

Justin Corvino
  • Fonction : Auteur
James Isenberg
  • Fonction : Auteur

Résumé

Given a collection of N asymptotically Euclidean ends with zero scalar curvature, we construct a Riemannian manifold with zero scalar curvature and one asymptotically Euclidean end, whose boundary has a neighborhood isometric to the disjoint union of a specified collection of sub-regions of the given ends. An application is the construction of time-symmetric solutions of the constraint equations which model N-body initial data.

Dates et versions

hal-00468093 , version 1 (30-03-2010)

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Piotr T. Chruściel, Justin Corvino, James Isenberg. Construction of N-body time-symmetric initial data sets in general relativity. 2009. ⟨hal-00468093⟩
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