Multipole moments of stationary space-times
Multipole moments of stationary space-times
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DOI：
10.1063/1.1666501
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发表时间：
1974
影响因子：
1.3
通讯作者：
R. O. Hansen
中科院分区：
文献类型：
--
作者：
R. O. Hansen
对于爱因斯坦方程的平稳、渐近平坦、无源解，定义了多极矩。有两组多极矩，质量矩和角动量矩。这些量在空间无穷远处的点a ‘ ’处以张量的形式出现。它们可以表示为类时杀戮向量的范数和扭曲在A处的导数的某些组合。在牛顿极限中，力矩减小为牛顿势的通常的多极矩。推导了这些矩的一些性质，并以克尔解的多极矩为例进行了讨论。
Multipole moments are defined for stationary, asymptotically flat, source‐free solutions of Einstein's equation. There arise two sets of multipole moments, the mass moments and the angular momentum moments. These quantities emerge as tensors at a point A ``at spatial infinity.'' They may be expressed as certain combinations of the derivatives at A of the norm and twist of the timelike Killing vector. In the Newtonian limit, the moments reduce to the usual multipole moments of the Newtonian potential. Some properties of these moments are derived, and, as an example, the multipole moments of the Kerr solution are discussed.