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arXiv · 1003.0791

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

Takahisa Igata·Tatsuhiko Koike·Hideki Ishihara
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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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Takahisa Igata, Tatsuhiko Koike, Hideki Ishihara. 2010-03-03. Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields. https://arxiv.org/abs/1003.0791

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