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

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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 \(\sigma \equiv 0\) have a non-trivial solution, thus answer an question by D. Maxwell.

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          Journal
          2015-07-04
          2015-07-13
          1507.01081

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          14 pages, no figure. All comments welcome
          math.AP gr-qc math.DG

          Analysis, General relativity & Quantum cosmology, Geometry & Topology

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