Relative motion and rest frames on de Sitter spacetimes

TL;DR

This paper extends the Nachtmann boosting method with gauge transformations to analyze relative geodesic motion on de Sitter spacetimes, focusing on how conserved quantities transform and defining rest frames for massive objects.

Contribution

It introduces a combined approach of gauge transformations with Nachtmann boosting to study motion and conserved quantities in de Sitter spacetime.

Findings

Conserved quantities transform under isometries.

Rest frames for massive mobiles are defined.

Method enhances understanding of motion in de Sitter spacetime.

Abstract

The Nachtmann boosting method is completed with gauge transformations in order to be applied to the study of the relative geodesic motion on the de Sitter spacetimes, finding how the conserved quantities transform under isometries and defining the rest frames of massive mobiles.