Killing tensors and conserved quantities of a relativistic particle in external fields

Takahisa Igata, Tatsuhiko Koike, Hideki Ishihara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publication12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages1026-1028
Number of pages3
ISBN (Print)9814374512, 9789814374514
DOIs
Publication statusPublished - 2012
Event12th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, MG 2009 - Paris, France
Duration: 2009 Jul 122009 Jul 18

Publication series

Name12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity

Other

Other12th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, MG 2009
CountryFrance
CityParis
Period09/7/1209/7/18

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

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    Igata, T., Koike, T., & Ishihara, H. (2012). Killing tensors and conserved quantities of a relativistic particle in external fields. In 12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity (pp. 1026-1028). (12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789814374552_0121