The Geodesic Motion in Taub-Nut Spinning 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.

LATEX, 14 pages, IFA-FT-392-1993

References in corpus (2)

• SUSY in the sky
• The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons

Cited by in corpus (11)

• Supersymmetry and the Geometry of Taub-NUT
• Killing tensors and a new geometric duality
• Spinning particles in Taub-NUT space
• Anholonomic Frames, Generalized Killing Equations, and Anisotropic Taub NUT Spinning Spaces
• Generalized Runge-Lenz Vector in Taub-Nut Spinning Space
• Curved manifolds with conserved Runge-Lenz vectors
• The Dirac equation in Taub-NUT space
• Generalized Killing equations and Taub-NUT spinning space
• Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
• Generalized Killing equations for spinning spaces and the role of Killing-Yano tensors
• Geodesics on a Kerr-Newman-(anti-)de Sitter instanton