The Einstein-Yang-Mills equations from Bianchi identities
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Abstract
We suggest a novel extension to the Kaluza-Klein scheme that allows us to obtain consistently all SU(n) Einstein-Yang-Mills theories. This construction is based on allowing the five-dimensional spacetime to carry some non-vanishing torsion; however, the four-dimensional spacetime remains intrinsically torsion-free.
Cite
@article{arxiv.0710.0752,
title = {The Einstein-Yang-Mills equations from Bianchi identities},
author = {Christian G. Boehmer and Luca Fabbri},
journal= {arXiv preprint arXiv:0710.0752},
year = {2008}
}
Comments
5 pages; typos corrected in Eq. (30) and Eq. (34)