Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds
General Relativity and Quantum Cosmology
2014-03-05 v1 Analysis of PDEs
Abstract
In this note we prove two existence theorems for the Einstein constraint equations on asymptotically Euclidean manifolds. The first is for arbitrary mean curvature functions with restrictions on the size of the transverse-traceless data and the non-gravitational field data, while the second assumes a near-CMC condition, with no other restrictions.
Keywords
Cite
@article{arxiv.1312.0535,
title = {Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds},
author = {James Dilts and James Isenberg and Rafe Mazzeo and Caleb Meier},
journal= {arXiv preprint arXiv:1312.0535},
year = {2014}
}
Comments
8 pages