The uniqueness of the Einstein-Yang-Mills equations.

Physics

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General Relativity

Scientific paper

The most general gauge-invariant Lagrange density (concomitant of the metric tensor together with the gauge potentials of a gauge and its first derivatives) for which the associated Euler-Lagrange equations are precisely Yang-Mills equations is obtained. It is more general than the Lagrangian which is commonly used, but it still has essentially the same energy momentum tensor.

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