The possibility to avoid physical realizability of cosmological singularity (singularity of Big Bang of the Universe) directly in the orthodoxal general theory of relativity (GR) and in its improved version – the relativistic gravithermodynamics (RGTD) is substantiated.
The solution to the gravitational field equations of a flat galaxy has been found. It is shown that at the edge of the galaxy the excessively strong ordinary (unreduced) centrifugal pseudo-forces of inertia are compensated mainly by centripetal pseudo-forces of evolutionary self-contraction of matter in the background Euclidean space of expanding Universe, and not by the weak gravitational pseudo-forces at the edge of the galaxy.
In a galaxy that is not a continuous astronomical self-formation the coordinate velocity of light can be significantly greater than zero on the median surface with the minimum possible value of the Schwarzschild radius. After all, the prevention of the annihilation of stars containing antimatter with stars containing matter is ensured by their rotation around the median surface, which does not allow them to fall onto this surface, and even more so to cross it.