The Einstein-Yang-Mills equations from Bianchi identities

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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5 pages; typos corrected in Eq. (30) and Eq. (34)

Scientific paper

10.1142/S0217732307025807

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.

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