Differential compatibility conditions on the momentum-energy tensor and necessary conditions for the existence of solutions to the Einstein field equations.

Differential compatibility conditions on the momentum-energy tensor and necessary conditions for the existence of solutions to the Einstein field equations.

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An examination of the third-order dynamic compatibility conditions derived in P-2369, Discontinuities in the Einstein Field for General Momentum-energy Tensors. It is shown (1) that three additional existence requirements are obtained for problems of...