Consistency of dust solutions with div H=0
classification
🌀 gr-qc
keywords
dustanalysiscompleteconditionconditionsconsistencyconsistentlycovariant
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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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