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arxiv: 0902.1685 · v2 · pith:Y4YLGP2Vnew · submitted 2009-02-10 · 🧮 math.DG · math.AP

Involutivity of field equations

classification 🧮 math.DG math.AP
keywords equationsfieldinvolutivitybasiccalculatingcartancartan-kahlercohomology
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We prove involutivity of Einstein, Einstein-Maxwell and other field equations by calculating the Spencer cohomology of these systems. Relation with Cartan method is traced in details. Basic implications through Cartan-Kahler theory are derived.

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