Crystal Journal of Physics - Article In Press

Articles in Press

Authors: Pavlo Danylchenko*

Published Date: 01 June, 2026

Cite: P. Danylchenko, “Solutions of the Standard Differential Equation of the Dynamic Gravitational Field of a Flat Galaxy,” Crystal Journal of Physics, vol. 2, no. 3, pp. 01-07, 2026.

Abstract
The fundamental absence of dilation of the intrinsic time of matter, which moves in a gravitational field by inertia, and therefore the unreality of the Etherington's identity, is substantiated. The Hubble linear dependence of the redshift of the wavelengths of radiation on the transverse comoving distance instead of the luminosity distance is proved. The corre-spondence of this dependence to astronomical observations is shown. The variability of the Hubble constant in time, and therefore the presence of dark energy in the Universe, which supposedly accelerates or, vice versa, slows down the expansion of the Universe in the people's World, is refuted.

Keywords
Dark Energy, Redshift, Luminosity Distance, Transverse Comoving Distance, Etherington's Identity, Hubble's Law, Hubble Constant.