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Irrotational dust with Div H=0

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 نشر من قبل Peter Dunsby
 تاريخ النشر 1995
  مجال البحث فيزياء
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For irrotational dust the shear tensor is consistently diagonalizable with its covariant time derivative: $sigma_{ab}=0=dot{sigma}_{ab},; a eq b$, if and only if the divergence of the magnetic part of the Weyl tensor vanishes: $div~H = 0$. We show here that in that case, the consistency of the Ricci constraints requires that the magnetic part of the Weyl tensor itself vanishes: $H_{ab}=0$.

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