Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields

Details Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields

2010-03-03

arxiv.org/abs/1003.0791v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Proceedings of the 12th Marcel Grossmann Meeting on General Relativity (MG 12), Paris, France, 12-18 Jul 2009

Scientific paper

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.

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