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
Pages1026-1028
Number of pages3
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

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

Fingerprint

relativistic particles
tensors
conservation
invariance
orbits

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

Cite this

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)

Killing tensors and conserved quantities of a relativistic particle in external fields. / Igata, Takahisa; Koike, Tatsuhiko; Ishihara, Hideki.

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. 2012. p. 1026-1028.

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

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 Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, MG 2009, Paris, France, 09/7/12.
Igata T, Koike T, Ishihara H. 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. 2012. p. 1026-1028
Igata, Takahisa ; Koike, Tatsuhiko ; Ishihara, Hideki. / Killing tensors and conserved quantities of a relativistic particle in external fields. 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. 2012. pp. 1026-1028
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