Spinning particles in de Sitter spacetime

TL;DR

This paper derives the equations of motion for spinning particles in de Sitter spacetime, explicitly expressing momentum and spin in terms of coordinates using spacetime symmetries, and discusses dynamics under different supplementary conditions.

Contribution

It provides the multipolar equations of motion for spinning test bodies in de Sitter spacetime, including explicit expressions for momentum and spin based on spacetime symmetries.

Findings

Derived multipolar equations of motion for spinning particles.

Explicit expressions for 4-momentum and spin in de Sitter spacetime.

Analyzed dynamics under Frenkel and Tulczyjew supplementary conditions.

Abstract

We report on the multipolar equations of motion for spinning test bodies in the de Sitter spacetime of constant positive curvature. The dynamics of spinning particles is discussed for the two supplementary conditions of Frenkel and Tulczyjew. Furthermore, the 4-momentum and the spin are explicitly expressed in terms of the spacetime coordinates with the help of the 10 Killing vectors available in de Sitter spacetime.