Theory of gravitation on the basis of the Poincare-Weyl gauge group

O.V. Babourova1, B.N. Frolov2 and V.Ch. Zhukovsky3


The gauge theory for the Poincaré-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but are functions of the true gauge fields: rotational, translational and dilatational ones. The equations of gauge fields, whose sources are an energy-momentum tensor, orbital and spin momemta as well as a dilatational current of an external field, are obtained. A new direct interaction of the rotational gauge field with the orbital momentum of an external field appears, which describes some new effects connected with the space gyroscope Probe B experiment.


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