Generalized Killing equations and Taub-NUT spinning space

Abstract

The generalized Killing equations for the configuration space of spinning particles (spinning space) are analysed. Simple solutions of the homogeneous part of these equations are expressed in terms of Killing-Yano tensors. The general results are applied to the case of the four-dimensional euclidean Taub-NUT manifold.

10 pages, latex

References in corpus (6)

• SUSY in the sky
• Supersymmetry and the Geometry of Taub-NUT
• The role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold
• Generalized Runge-Lenz Vector in Taub-Nut Spinning Space
• The Dirac equation in Taub-NUT space
• The Geodesic Motion in Taub-Nut Spinning Space

Cited by in corpus (10)

• Killing-Yano tensors and some applications
• Spinning particles in Taub-NUT space
• CYK Tensors, Maxwell Field and Conserved Quantities for Spin-2 Field
• Anholonomic Frames, Generalized Killing Equations, and Anisotropic Taub NUT Spinning Spaces
• Dynamical supersymmetry of spin particle-magnetic field interaction
• Chaos and Taub-NUT related spacetimes
• Regular and chaotic interactions of two BPS dyons at low energy
• Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model
• Circular Orbits in the Taub-NUT and mass-less Taub-NUT Space-time
• Super-energy and Killing-Yano tensors