Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations
Analysis of PDEs
2016-10-05 v3 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
In this article, we give nonexistence and nonuniqueness results for the vacuum Einstein conformal constraint equations in the far-from-CMC case and also show that in some cases the equations of the conformal method for positive Yamabe metrics and with TT-tensor = 0 have a non-trivial solution, and thus answer a question by D. Maxwell.
Keywords
Cite
@article{arxiv.1507.01081,
title = {Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations},
author = {Nguyen The Cang},
journal= {arXiv preprint arXiv:1507.01081},
year = {2016}
}
Comments
15 pages, no figure. All comments welcome