2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199321We 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)General Relativity and Quantum CosmologyHigh Energy Physics - TheoryThe Einstein-Yang-Mills equations from Bianchi identitiestext