2010/03/03 by Takahisa Igata, Igata, Takahisa, Tatsuhiko Koike +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Navier-Stokes equation solutions #gr-qc
paper · pdf · doi:10.48550/arxiv.1003.0791
Proceedings of the 12th Marcel Grossmann Meeting on General Relativity (MG 12), Paris, France, 12-18 Jul 2009
arxiv created 2010/03/03 · openalex publication_date 2010/03/03 · arxiv updated 2010/03/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.