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Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations
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2015-07-04
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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.