The effect of universe inhomogeneities on cosmological distance measurements

TL;DR

This paper investigates how inhomogeneities in the universe affect cosmological distance measurements, proposing a new method that aligns better with observational data by considering matter distribution effects.

Contribution

It introduces a novel approach based on the focusing equation that accounts for universe inhomogeneities, improving the accuracy of angular diameter distance measurements.

Findings

Proposed method aligns more closely with observational data.

Derived equations incorporate matter distribution effects.

Demonstrated improved measurement accuracy over traditional methods.

Abstract

Using the focusing equation, the equation for the cosmological angular diameter distance is derived, based on the ideas of Academician Ya.B. Zel'dovich, namely, that the distribution of matter at small angles is not homogeneous, and the light cone is close to being empty. We propose some ways of testing a method for measuring the angular diameter distances and show that the proposed method leads to results that agree better with the experimental data than those obtained by the usual methods.