The Einstein Constraint Equations on Compact Manifolds with Boundary

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.

34 pages. arXiv admin note: text overlap with arXiv:1306.1801 by other authors

References in corpus (1)

• Near-Constant Mean Curvature Solutions of the Einstein Constraint Equations with Non-Negative Yamabe Metrics

Cited by in corpus (1)

• A2: Mathematical relativity and other progress in classical gravity theory - a session report