Non-constant mean curvature trumpet solutions for the Einstein constraint equations
General Relativity and Quantum Cosmology
2016-07-06 v1 Differential Geometry
Abstract
We prove the existence of a large class of initial data for the vacuum Einstein equations which possess a finite number of asymptotically Euclidean and asymptotically conformally cylindrical or periodic ends. Aside from being asymptotically constant, only mild conditions on the mean curvature of these initial data sets are imposed.
Keywords
Cite
@article{arxiv.1601.07619,
title = {Non-constant mean curvature trumpet solutions for the Einstein constraint equations},
author = {Jeremy Leach},
journal= {arXiv preprint arXiv:1601.07619},
year = {2016}
}