Abstract
A particular case of bimetrical unified field theory is considered, which is based on Hilbert's proposal of obtaining a complete system of independent equations for unified theory. The action depends on two symmetrical tensors gμν and g μν ° , the second leading to a zero curvature tensor, which results in the theory being invariant under the Poincare group, and in ten conservation laws. The field equations obtained when varying the action with respect to gμν have the form of Einstein equations whose righthand side is not defined independently, but is rather a function of gμν and g μν ° . The vector and scalar gauge transformations corresponding to variations δS of special form are defined. With the aid of these transformations, the electromagnetic and scalar fields are introduced within the framework of the unified theory. The basic equations of the theory under consideration contain a new dimensional physical constant, which connects gravitation and electromagnetism. A numerical estimate of this constant is given.
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