The Einstein-Yang-Mills equations from Bianchi identities
arXiv:0710.0752 · doi:10.1142/S0217732307025807
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.
5 pages; typos corrected in Eq. (30) and Eq. (34)