Form Invariance and Lie Symmetries of the Rotational Relativistic Birkhoff System
Form Invariance and Lie Symmetries of the Rotational Relativistic Birkhoff System
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DOI：
10.1088/0256-307x/19/4/301
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发表时间：
2002-04
影响因子：
3.5
通讯作者：
Luo Shao-kai
中科院分区：
文献类型：
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作者：
Luo Shao-kai
对于旋转相对论Birkhoff系统，在群的无穷小变换下，给出了形式不变性与Lie对称性之间的关系.如果无穷小变换生成元ξ0和ξµ满足形式不变性的条件，并且李对称性的决定方程成立，则形式不变性导致系统的李对称性。进一步地，如果无穷小变换生成元ξ0和ξµ满足形式不变性条件，且Lie对称性的决定方程成立，并且如果存在满足Lie对称性结构方程的规范函数G，则形式不变性将导致系统的Lie对称守恒量。 举例说明结果的应用.
For a rotational relativistic Birkhoff system, the relation between the form invariance and the Lie symmetries are given under infinitesimal transformations of groups. If the infinitesimal transformation generators ξ0 and ξµ satisfy the conditions of the form invariance, and the determining equation of Lie symmetries holds, the form invariance leads to a Lie symmetry of the system. Furthermore, if the infinitesimal transformations generators ξ0 and ξµ satisfy the conditions of the form invariance and the determining equation of Lie symmetry holds, and if there is a gauge function G satisfying the structure equation of Lie symmetry, then the form invariance will lead to the Lie symmetrical conserved quantity of the system. An example is given to illustrate the application of the results.