The Einstein Constraint Equations on Compact Manifolds with Boundary
General Relativity and Quantum Cosmology
2015-06-17 v3 Analysis of PDEs
Abstract
We continue the study of the Einstein constraint equations on compact manifolds with boundary initiated by Holst and Tsogtgerel. In particular, we consider the full system and prove existence of solutions in both the near-CMC and far-from-CMC (for Yamabe positive metrics) cases. We also make partial progress in proving the results of previous "limit equation" papers by Dahl, Gicquaud, Humbert and Sakovich.
Cite
@article{arxiv.1310.2303,
title = {The Einstein Constraint Equations on Compact Manifolds with Boundary},
author = {James Dilts},
journal= {arXiv preprint arXiv:1310.2303},
year = {2015}
}
Comments
34 pages. arXiv admin note: text overlap with arXiv:1306.1801 by other authors