de Sitter geodesics in stereographic charts

TL;DR

This paper demonstrates that stereographic coordinates on de Sitter spacetime introduce artificial singularities in timelike geodesic equations, which are not physically meaningful.

Contribution

It reveals the presence of non-physical singularities caused by stereographic coordinates in de Sitter geodesic equations.

Findings

Stereographic coordinates induce artificial singularities in geodesic equations.

These singularities are not physically motivated.

The study clarifies coordinate-dependent artifacts in de Sitter spacetime.

Abstract

It is shown that the stereographic coordinates on the $(1+3)$-dimensional de Sitter spacetime induce, in the parametric equations of all the timelike geodesics, artificial singularities which do not have any physical motivation.