Matter as Curvature and Torsion of General Metric-Affine Space

Abstract

General equations of the unified field theory, obtained using the curved and torsional space-time, are presented. They contain only independent geometrical parameters (metric and connections) of the metric-affine space, and describe the distribution and motion of matter, which represents the curvature and torsion of the space-time. Equations, describing spherically symmetric fields, are derived for various cases: the gravitational field in vacuum, arbitrary material field, and field of massless fluid with spin. Equations are derived for the closed and open models of the uniform and isotropic Universe for the gravitational field in vacuum and field of the massless fluid with spin. The respective solutions without singularities have been obtained for these cases. Equations, describing cosmological models, and their solutions are presented for various uniform isotropic fields. The relations of the obtained results to the anthropic principle and cosmological natural selection concept are discussed. It is shown that there is no necessity to quantize the obtained general equations. Applying the concept of the unified geometrical field, the hypothetical qualitative explanations of some non-conventional phenomena are proposed.