The author presents a simple method (by using the standard theory of connections on principle bundles) of -decomposition of the physical equations written in terms of differential forms on a 4-dimensional spacetime of general relativity, with respect to a general observer. Finally, the author suggests possible applications of such a decomposition to the Maxwell theory.
@article{701612,
title = {Space-time decompositions via differential forms},
booktitle = {Proceedings of the 17th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1998},
pages = {[33]-43},
mrnumber = {MR1662723},
zbl = {0948.83006},
url = {http://dml.mathdoc.fr/item/701612}
}
Fecko, Marián. Space-time decompositions via differential forms, dans Proceedings of the 17th Winter School "Geometry and Physics", GDML_Books, (1998), pp. [33]-43. http://gdmltest.u-ga.fr/item/701612/