Theory of Gravitational-Inertial Field of Universe. I. Gravitational-Inertial Field Equations

In the series of present articles the original proposition is a generalization of the real world tensor by the introduction of a inertial field tensor. From this generalization it follows, particularly, that ?_ig_lm ? g_lm;i ≠ 0. This allows to use as a Lagrangian density of the field the expression A_g = k₁ g_lm;ig^lm _;kg^ik. On the basis of variational equations a system of more general covariant equations of the gravitational-inertial field is obtained. In the Einstein approximation these equations reduce to the field equations of Einstein. The solution of fundamental problems in the general theory of relativity by means of the new equations gives the same results as the solution by means of Einstein's equations. However, application of these equations to the cosmologic problem gives a result different from that obtained by Friedmann's theory. In particular, the solution gives the Hubble law as the law of motion of a free body in the inertial field - in contrast to Galileo-Newton's law.