Abstract: World Journal of Applied Mathematics and Statistics

Abstract:
The expansion of the universe yields two consistent differing values of a Hubble constant depending on the methods of measurement. The aim of this work was to explain the Hubble tension by properties of space cor- responding to a ra dially inhomogeneous metrics. A cosmological model described by this perturbed FLRW metric has zero pressure and exponen- tially expanding space. But the observed space appears to be compressed in the radial direction. We consider the dependence of the change rate of photon energy on the direction of its motion. It is found applying the prin- ciple of the photon’s energy integral extremum and the relationship be- tween it and the energy of a material particle obtained using Lagrange me- chanics. The change rate of a photon’s energy varies depending on whether it moves in a radial direction or has an angular component. The metric co- efficients are determined by the difference in measurements of the Hubble constant using gravitational lensing and a distance ladder.