The Papapetrou equations and supplementary conditions

TL;DR

This paper compares different formulations of the Papapetrou equations with supplementary conditions to analyze the motion of spinning bodies in general relativity, focusing on spin-orbit interactions in post-Newtonian approximation.

Contribution

It provides a comparative analysis of the Papapetrou equations with various supplementary conditions and explores spin-orbit forces in a post-Newtonian framework.

Findings

Different supplementary conditions affect the equations of motion.

An expression for the spin-orbit force is derived in post-Newtonian approximation.

The motion of vertically spinning bodies in circular orbits is analyzed.

Abstract

On the bases of the Papapetrou equations with various supplementary conditions and other approaches a comparative analysis of the equations of motion of rotating bodies in general relativity is made. The motion of a body with vertical spin in a circular orbit is considered. An expression for the spin-orbit force in a post-Newtonian approximation is investigated.