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Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations (1507.01081v3)
Published 4 Jul 2015 in math.AP, gr-qc, and math.DG
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 $\sigma$ = 0 have a non-trivial solution, and thus answer a question by D. Maxwell.