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arXiv · 0909.1101

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

Piotr T. Chruściel·Justin Corvino·James Isenberg
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Abstract

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.

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Piotr T. Chruściel, Justin Corvino, James Isenberg. 2009-09-06. Construction of N-body time-symmetric initial data sets in general relativity. https://arxiv.org/abs/0909.1101

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