Violation of the Weak Equivalence Principle in Theories of Gravity with a Nonsymmetric Metric

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Abstract
Theories of gravitation in which a nonsymmetric metric couples minimally to the electromagnetic field violate the weak equivalence principle (WEP) by predicting that test bodies with internal electrostatic energy fall with different accelerations. This further supports Schiff's conjecture that the WEP implies the Einstein equivalence principle whose consequence is that gravity is described by a symmetric spacetime metric. Constraints on the nonsymmetric gravitational theory of Moffat are placed using the results of a recent free-fall Galilean test of the WEP.