Representation of the Einstein-Proca field by an A₄*

The Einstein-Proca field is 'geometrised' in the sense that the joint field equations are generated by a variational principle, the Lagrangian of which is solely a certain function of curvature quantities and the metric tensor gij of an A4*, i.e. of a linearly connected space A4 with symmetric connection on which an additional symmetric tensor field gij is defined.

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