Involutivity of field equations
Differential Geometry
2015-05-13 v2 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0902.1685,
title = {Involutivity of field equations},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:0902.1685},
year = {2015}
}
Comments
13 pages; this version is updated with new field equations (radiation, dust etc) - they are proved involutive, Spencer cohomology calculated