# Rest frames and relativistic effects on de Sitter spacetimes

## TL;DR

This paper develops a method using Nachtmann boosting and gauge transformations to analyze relativistic effects and conserved quantities in de Sitter spacetimes, enabling new solutions for kinematic effects, electromagnetic fields, and binary fission.

## Contribution

It introduces a novel approach combining boosting and gauge transformations to study conserved quantities and relativistic effects in de Sitter spacetimes, with new applications.

## Key findings

- Solved kinematic effects in de Sitter spacetime
- Derived electromagnetic field of a free falling charge
- Analyzed binary fission using conserved quantities

## Abstract

It is shown that the Nachtmann boosting method of introducing coordinates on de Siter manifolds can be completed with suitable gauge transformations able to keep under control the transformation under isometries of the conserved quantities. With this method, the rest local charts (or natural frames) are defined pointing out the role of the conserved quantities in investigating the relative geodesic motion. The advantages of this approach can be seen from the applications presented here. For the first time, the simple kinematic effects, the electromagnetic field of a free falling charge and the binary fission are solved in terms of conserved quantities on the expanding portion of the de Sitter spacetime.