Construction of N-body initial data sets in general relativity
General Relativity and Quantum Cosmology
2011-05-09 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1004.1355,
title = {Construction of N-body initial data sets in general relativity},
author = {Piotr T. Chruściel and Justin Corvino and James Isenberg},
journal= {arXiv preprint arXiv:1004.1355},
year = {2011}
}