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Theory of symmetry for a rotational relativistic Birkhoff system

Luo Shao-Kai1,2, Chen Xiang-Wei2 and Guo Yong-Xin3

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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.


PACS

02.30.Uu Integral transforms

02.30.Zz Inverse problems

02.20.Sv Lie algebras of Lie groups

03.30.+p Special relativity

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 5 ( 1 May 2002)

Received 3 December 2001, in final form 23 December 2001



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