A non-existence result for a generalization of the equations of the conformal method in general relativity
General Relativity and Quantum Cosmology
2013-03-06 v3 Analysis of PDEs
Differential Geometry
Abstract
The constraint equations of general relativity can in many cases be solved by the conformal method. We show that a slight modification of the equations of the conformal method admits no solution for a broad range of parameters. This suggests that the question of existence or non-existence of solutions to the original equations is more subtle than could perhaps be expected.
Cite
@article{arxiv.1207.5131,
title = {A non-existence result for a generalization of the equations of the conformal method in general relativity},
author = {Mattias Dahl and Romain Gicquaud and Emmanuel Humbert},
journal= {arXiv preprint arXiv:1207.5131},
year = {2013}
}
Comments
minor changes from previous version