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

*O.V. Babourova*^{1}, B.N. Frolov^{2} and V.Ch. Zhukovsky^{3}

(1) Department of Physics for Nature Sciences, Moscow State Pedagogical University, Krasnoprudnaya 14, Moscow 107140, Russia

(2) Department of Physics for Nature Sciences, Moscow State Pedagogical University, Krasnoprudnaya 14, Moscow 107140, Russia

(3) Department of Theoretical Physics, Faculty of Physics, Moscow State University, Vorobyovy Gory 1, st. 2, Moscow 119992, Russia

### Abstract

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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