Theory of symmetry for a rotational relativistic Birkhoff system
Luo Shao-Kai (罗绍凯)ab, Chen Xiang-Wei (陈向炜)b, Guo Yong-Xin (郭永新)c
a Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China; b Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China; c Department of Physics, Liaoning University, Shenyang 110036, China
Abstract The theory of symmetry for a rotational relativistic Birkhoff system is studied. In terms of the invariance of the rotational relativistic Pfaff－Birkhoff－D'Alembert principle under infinitesimal transformations, the Noether symmetries and conserved quantities of a rotational relativistic Birkhoff system are given. In terms of the invariance of rotational relativistic Birkhoff equations under infinitesimal transformations, the Lie symmetries and conserved quantities of the rotational relativistic Birkhoff system are given.
Received: 03 December 2001
Revised: 23 December 2001
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China(Grant No 19972010), the Natural Science Foundation of Henan Province, China(Grant Nos 998040080, 984053100 and 934060800), and the Natural Science Foundation of Liaoning Province, China
Cite this article:
Luo Shao-Kai (罗绍凯), Chen Xiang-Wei (陈向炜), Guo Yong-Xin (郭永新) Theory of symmetry for a rotational relativistic Birkhoff system 2002 Chinese Physics 11 429
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