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Theory of symmetry for a rotational relativistic Birkhoff system |
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| Authors: | Luo Shao-Kai Chen Xiang-Wei and Guo Yong-Xin |
| Affiliation: | Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China; Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China; 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 |
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