Consistency of dust solutions with div H=0
arXiv:gr-qc/9703080 · doi:10.1103/PhysRevD.55.5219
Abstract
One of the necessary covariant conditions for gravitational radiation is the vanishing of the divergence of the magnetic Weyl tensor H_{ab}, while H_{ab} itself is nonzero. We complete a recent analysis by showing that in irrotational dust spacetimes, the condition div H=0 evolves consistently in the exact nonlinear theory.
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