Crystal Journal of Physics - Article In Press

Abstract
The feasibility of using the equations of the dynamic gravitational field to reflect the expanding Universe has been proven. The fallacy of using such a false parameter as the coordinate velocity of light in GR is proven. This coordinate velocity of light, unlike the limit velocity of matter, cannot in principle be less than the true velocity of matter. The suitability for use in the people's world of only ordinary synchronization-compensation transformations of increments of spatial coordinates and time is substantiated. These transformations, unlike the alternative to them ordinary Lorentz transformations (OLT), allow to proportionally synchro nize all clocks that move in a gravitational field by inertia. The suitability of OLT (due to the inherent to OLT blueshift of the fre quency of centripetal radiation instead of redshift) for use only in the comoving with expanding Universe frame of reference of spatial coordinates and time is proven. Newton's law of gravity is obtained directly from the condition of no change in the flow of the proper time of matter during its inertial motion in a gravitational field. The fallacy of ignoring the compensation of gravita tional dilation of time by the inertial motion of matter is most thoroughly substantiated. And this is in good agreement not only with relativistically invariant thermodynamics, but also with the equations of the dynamic gravitational field of both the Solar System and flat galaxies.

Keywords
Theory of Relativity, Hamiltonian, Lagrangian, Newtonian, Keplerian, Dynamic Gravitational Field, Time Dilation, Lorentz Transformation, Redshift, Blueshift, Flat Galaxies, Stars, Planets