Conservation laws and scattering for de Sitter classical particles

TL;DR

This paper provides a geometric framework for understanding conserved quantities, energy, and scattering processes of classical particles in de Sitter spacetime, clarifying their definitions across different coordinate systems.

Contribution

It introduces a new geometric characterization of geodesics and conserved quantities, offering an intrinsic approach to particle energy and scattering in de Sitter space.

Findings

New intrinsic description of de Sitter geodesics

Definition of energy in various coordinate systems

Analysis of classical scattering and decay processes

Abstract

Starting from an intrinsic geometric characterization of de Sitter timelike and lightlike geodesics we give a new description of the conserved quantities associated with classical free particles on the de Sitter manifold. These quantities allow for a natural discussion of classical pointlike scattering and decay processes. We also provide an intrinsic definition of energy of a classical de Sitter particle and discuss its different expressions in various local coordinate systems and their relations with earlier definitions found in the literature.