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Form Invariance and Noether Symmetries of Rotational Relativistic Birkhoff Systems
Authors:LUO Shao-Kai
Affiliation:Institute of Mathematical Mechanics and Mathe rnatical Physics, Changsha University, Changsha 410003, China
Abstract:Under the infinitesimal transformations of groups, a form invariance of rotational relativistic Birkhoffsystems is studied and the definition and criteria are given. In view of the invariance of rotational relativistic PfaffBirkhoff D'Alcmbert principle under the infinitesimal transformations of groups, the theory of Noether symmetries ofrotational relativistic Birkhoff systems are constructed. The relation between the form invariance and the Noethersymmetries is studied, and the conserved quantities of rotational relativistic Birkhoff systems are obtained.
Keywords:rotational relativity   Birkhoff system   form invariance   Noether symmetry   conserved quantity
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