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arxiv: 0710.0752 · v2 · submitted 2007-10-03 · 🌀 gr-qc · hep-th

The Einstein-Yang-Mills equations from Bianchi identities

classification 🌀 gr-qc hep-th
keywords einstein-yang-millsspacetimeallowingallowsbianchicarryconsistentlyconstruction
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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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