  A simple differential analysis of issue of the correspondence between notion
of geodesics in gravitation theory of GTR and straights of inertial motion in
the Minkowski space-time discovers that, conventional certification of the
geodesics in GTR is not compatible with the existence of the
Riemann-Christoffel curvature tensor (RCT). We show that, resolution of the
contradiction consists of a natural extension of the Christoffel symbols in the
gravitation dynamic law to the complete connectedness form which includes a
triadic asymmetric tensor (named the moderator). The correspondent Riemann
supertensor form, unavoidably annihilating by certification of 4-vectors of
particle momentum and spin, gives birth to torsion (skew-symmetric part of the
moderator) and the gravitensor (the even-symmetric part); both arrive connected
to the RCT and become an indispensable integral part of structure of the
gravitational field. The equivalence principle still actual while it becomes
enriched in the content. The Einstein-Hilbert law of the metric to matter
connection remains unchanged at the produced correction of the gravitational
dynamics. Our analysis results in the gravitensor addition to Christoffels in
equation for geodesics, modified equations for 4-vector of particle spin with
contribution from torsion, and renormalization of metric in the update dynamic
concept of the GTR. We pay attention to possible implication of torsion in the
elementary interactions.
