Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields
General Relativity and Quantum Cosmology
2010-03-04 v1
Abstract
We generalize Killing equations to a test particle system which is subjected to external force. We relax the conservation condition by virtue of reparametrization invariance of a particle orbit. As a result, we obtain generalized Killing equations which have hierarchical structure on the top of which a conformal Killing equation exists.
Keywords
Cite
@article{arxiv.1003.0791,
title = {Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields},
author = {Takahisa Igata and Tatsuhiko Koike and Hideki Ishihara},
journal= {arXiv preprint arXiv:1003.0791},
year = {2010}
}
Comments
Proceedings of the 12th Marcel Grossmann Meeting on General Relativity (MG 12), Paris, France, 12-18 Jul 2009