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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

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