Foundations of a unified gravitational, electromagnetic and scalar field theory

A special variant of a bimetric unified field theory based on the Hilbert idea of the variation method for obtaining a whole system of independent equations of the unified field theory is considered. The action depends on two symmetric tensors gsub(μν) and gsub(πν)sup(o) for the second of which the curvature tensor in equal to zero that results in invariance of the theory relatively to the Poincare group and to ten conservation laws. Field equations obtained in varying the action by gsub(μν) acquire the form of Einstein equations where the right part is not assigned independently but it is determined as a certain function from gsub(μν) and gsub(μν)sup(o). Vector and scalar gauge transformations corresponding to delta S variations of a special type are determined. Electromagnetic and scalar fields are introduced by means of these transformations within the frames of the unified theory. The basic equations of the considered theory contain a new dimensional physical constant establishing relation of gravitation and electromagnetism. Estimation of the numerical value of this constant is given