A Geometrical Approach to Hojman Theorem of a Rotational Relativistic Birkhoffian System

A Geometrical Approach to Hojman Theorem of a

Rotational Relativistic Birkhoffian System

ZHANG Yi

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2004(042)011

【摘要】A geometrical approach to the Hojman theorem of a rotational relativistic Birkhoffian system is presented.The differential equations of motion of the system are established. According to the invariance of differential

equations

under

infinitesimal

transformation,

the

determining equations of Lie symmetry are constructed. A new conservation law of the system, called Hojman theorem, is obtained, which is the generalization of previous results given sequentially by Hojman, Zhang, and Luo et al. In terms of the theory of modern differential geometry a proof of the theorem is given. 【总页数】3页(669-671) 【

关

键

词

】

rotational

relativity;Birkhoffian

system;Hojman

theorem;symmetry;conservation law;differential geometry 【作者】ZHANG Yi

【作者单位】Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China 【正文语种】中文 【中图分类】