Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case II
Analysis of PDEs
2014-10-23 v1
Abstract
We solve the Einstein constraint equations for a 3 + 1 dimensional vacuum spacetime with a space-like translational Killing field in the asymptotically flat case.. The presence of a space-like translational Killing field allows for a reduction of the 3 + 1 dimensional problem to a 2+1 dimensional one. The aim of this paper is to go further in the asymptotic expansion of the solutions than in [14]. In particular the expansion we construct involves quantities which are the 2-dimensional equivalent of the global charges.
Keywords
Cite
@article{arxiv.1410.6061,
title = {Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case II},
author = {Cécile Huneau},
journal= {arXiv preprint arXiv:1410.6061},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1302.1473