Quasi-Maxwell interpretation of the spin-curvature coupling

TL;DR

This paper reformulates the Mathisson-Papapetrou equations for spinning particles in stationary spacetimes using a quasi-Maxwell approach, providing new insights into spin-curvature interactions and equilibrium positions in NUT spacetime.

Contribution

It introduces a quasi-Maxwell formalism to interpret spin-curvature coupling and applies it to find equilibrium positions in NUT spacetime.

Findings

New interpretation of spin-curvature coupling via quasi-Maxwell formalism

Computed equilibrium positions for spinning particles in NUT spacetime

Enhanced understanding of particle dynamics in stationary spacetimes

Abstract

We write the Mathisson-Papapetrou equations of motion for a spinning particle in a stationary spacetime using the quasi-Maxwell formalism and give an interpretation of the coupling between spin and curvature. The formalism is then used to compute equilibrium positions for spinning particles in the NUT spacetime.