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arxiv: 1507.01081 · v3 · pith:4CJXAAFYnew · submitted 2015-07-04 · 🧮 math.AP · gr-qc· math.DG

Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations

classification 🧮 math.AP gr-qcmath.DG
keywords conformalequationsconstrainteinsteinnonexistencenonuniquenessresultsvacuum
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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.

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