Some effects of different coordinate systems in cosmology

TL;DR

This paper examines how different coordinate systems in cosmology affect the observed inertial forces and the apparent cosmological constant, highlighting the importance of reference frame choice in interpreting cosmic dynamics.

Contribution

It analyzes the impact of various reference frames on radial motion and inertial forces, revealing how coordinate choices influence observable effects in cosmology.

Findings

Different coordinate systems lead to observable differences in inertial forces.

An effective cosmological constant arises in non-synchronous frames.

Numerical estimates compare the effective and invariant cosmological constants.

Abstract

The analysis of the dynamics of radial movement in different reference frames used in cosmology is made. Use of different frames leads to the difference in inertial forces resulting in different observable effects. The important effect is the appearance in the system different from the synchronous one of the acceleration proportional to the distance analogous to the action of the cosmological constant. Numerical estimate of the difference of this effective cosmological constant and the invariant constant in Einstein equations is made.