Abstract
Within the framework of the gauge theory of gravitation as a gauge theory of the local group P4 × D (Poincare and dilatation), the gravitational interaction of a continuous medium in Weil space, in which the Weil nonmetricity is due to localization of the dilatation group, and its source is the mass flux density of matter, i.e., its dilatational current, is considered. Using the variational principle, with the curvature scalar in Weil space as the geometric Lagrangian, dynamic equations of the theory are obtained, and the corresponding accurate solutions are found.
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