Pfaff systems theory and the unifications of gravitation and electromagnetism

Details Pfaff systems theory and the unifications of gravitation and electromagnetism Pfaff systems theory and the unifications of gravitation and electromagnetism

2001-09-20

arxiv.org/abs/gr-qc/0109072v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, 25 references, no figures, submitted in May 2001 to J. Geom. Phys

Scientific paper

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 "Poincar\'e" 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.

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