A Maxwell field minimally coupled to torsion
General Relativity and Quantum Cosmology
2011-10-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider the Lagrangian density for a free Maxwell field, in which the electromagnetic field tensor minimally couples to the affine connection, in the Einstein-Cartan-Sciama-Kibble theory of gravity. We derive the formulae for the torsion and electromagnetic field tensors in terms of the electromagnetic potential. The divergence of the magnetic field does not vanish: the photon-torsion coupling acts like an effective magnetic monopole density. Such a coupling, which breaks U(1) gauge invariance, is significant only at extremely high energies existing in the very early Universe or inside black holes. It may, however, provide a mechanism for Dirac's quantization of electric charge.
Cite
@article{arxiv.1108.6100,
title = {A Maxwell field minimally coupled to torsion},
author = {Nikodem J. Poplawski},
journal= {arXiv preprint arXiv:1108.6100},
year = {2011}
}
Comments
3 pages