Pfaff systems theory and the unifications of gravitation and electromagnetism
Abstract
Description
We show in the framework of Pfaff systems theory, the functional dependences of the general analytic solutions of a suitable system of involutive differential equations describing the differences between the analytic solutions of the conformal and "Poincaré" Lie equations. Then we ascribe to the infinitesimal variations of the parametrizing functionals some physical meanings as the electromagnetic and gravitation potentials. We also deduce their corresponding fields of interactions together with the differential equations they must satisfy. Then we discuss on various possible physical interpretations.
29 pages, 25 references, no figures, submitted in May 2001 to J. Geom. Phys
29 pages, 25 references, no figures, submitted in May 2001 to J. Geom. Phys