T h e affine field theory of a symmetric connection is based on a more general variational principle than was used by Einstein. The action density is a function of the Ricci tensor and a covariant vector field A,, which is determined by the connection. The terms in the field equations which depend explicitly on Ai are interpreted as charge-current 4-vectors. The field equations give a generalization of NIie's theory of electrodynamics, and in a special case they correspond to Born's non-linear equations of electrodynamics. A connection with Maxwell's equations is also established in this case. T h e static spherically symmetric field of an electron is described, and an interpretation of the solutions, which ascribes a structure to the electron, is briefly discussed.
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