Involutivity of field equations

Details Involutivity of field equations Involutivity of field equations

2009-02-10

arxiv.org/abs/0902.1685v2

Mathematics

Differential Geometry

13 pages; this version is updated with new field equations (radiation, dust etc) - they are proved involutive, Spencer cohomol

Scientific paper

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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