Algebraic structure and Poisson integrals of a rotational relativistic Birkhoff system

作者：Luo, SK^*; Chen, XW; Guo, YX

来源：Chinese Physics, 2002, 11(6): 523-528.

• rotational relativity
• Birkhoff equation
• algebraic structure
• Poisson integral

We have studied the algebraic structure of the dynamical equations of a rotational relativistic Birkhoff system. It is proven that autonomous and semi-autonomous rotational relativistic Birkhoff equations possess consistent algebraic structure and Lie algebraic structure. In general, non-autonomous rotational relativistic Birkhoff equations possess no algebraic structure, but a type of special non-autonomous rotational relativistic Birkhoff equation possesses consistent algebraic structure and consistent Lie algebraic structure. Then, we obtain the Poisson integrals of the dynamical equations of the rotational relativistic Birkhoff system. Finally, we give an example to illustrate the application of the results.

• 出版日期2002-6
• 单位辽宁大学; 长沙学院; 商丘师范学院