Construction of N-body time-symmetric initial data sets in general relativity
General Relativity and Quantum Cosmology
2009-09-08 v1
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.
Keywords
Cite
@article{arxiv.0909.1101,
title = {Construction of N-body time-symmetric initial data sets in general relativity},
author = {Piotr T. Chruściel and Justin Corvino and James Isenberg},
journal= {arXiv preprint arXiv:0909.1101},
year = {2009}
}