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

Published 3 Mar 2010 in gr-qc | (1003.0791v1)

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.

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