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The Einstein Constraint Equations on Compact Manifolds with Boundary

Published 8 Oct 2013 in gr-qc and math.AP | (1310.2303v3)

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.

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Authors (1)

  1. James Dilts 

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