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Theory of symmetry for a rotational relativistic Birkhoff system

Luo Shao-Kai et al 2002 Chinese Phys. 11 429-436   doi: 10.1088/1009-1963/11/5/304  Help

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Luo Shao-Kai1,2, Chen Xiang-Wei2 and Guo Yong-Xin3
1 Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China
2 Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China
3 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.

Keywords: rotational relativity, Birkhoff system, Noether symmetry, Lie symmetry

PACC numbers: 0316, 0320, 0412

Print publication: Issue 5 (May 2002)
Received 3 December 2001, in final form 23 December 2001

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