The Geodesic Motion in Taub-Nut Spinning Space
Mihai Visinescu
TL;DR
This paper studies the paths of spinning particles in Euclidean Taub-NUT space, deriving constants of motion and presenting an exact solution for trajectories on a cone, enhancing understanding of spinning particle dynamics in this geometry.
Contribution
It introduces a detailed analysis of geodesic motion for spinning particles in Taub-NUT space, including generalized Killing equations and explicit solutions.
Findings
Constants of motion are derived for spinning particles.
An exact solution for cone trajectories is provided.
The analysis advances understanding of spinning particle dynamics in Taub-NUT space.
Abstract
The geodesic motion of pseudo-classical spinning particles in the Euclidean Taub-NUT space is analysed. The generalized Killing equations for spinning space are investigated and the constants of motion are derived in terms of the solutions of these equations. A simple exact solution, corresponding to trajectories lying on a cone, is given.
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