Non-linear Electrodynamics derived from the Kaluza-Klein Theory
Mathematical Physics
2023-03-21 v1 High Energy Physics - Theory
math.MP
Abstract
The lagrangian of the Kaluza-Klein theory, in its simplest five-dimensional version, should include not only the scalar curvature R, but also the quadratic Gauss-Bonnet invariant. The general lagrangian is computed and the resulting non-linear equations which generalize Maxwell's system in a quite unique way are investigated. The possibility of the existence of static solutions is presented, and the qualitative behaviour of such solutions is discussed.
Cite
@article{arxiv.2303.10603,
title = {Non-linear Electrodynamics derived from the Kaluza-Klein Theory},
author = {Richard Kerner},
journal= {arXiv preprint arXiv:2303.10603},
year = {2023}
}
Comments
15 pages, 6 figures. Conference paper, published in the Proceedings of Varna Summer School, "Infinite Dimensional Lie Algebras and Quantum Field Theory, World Scietific 1987