LAGRANGIANS FOR N POINT MASSES AT THE 2ND POST-NEWTONIAN APPROXIMATION OF GENERAL-RELATIVITY
LAGRANGIANS FOR N POINT MASSES AT THE 2ND POST-NEWTONIAN APPROXIMATION OF GENERAL-RELATIVITY
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DOI：
10.1007/bf00773685
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发表时间：
1985-01-01
影响因子：
2.8
通讯作者：
SCHAFER, G
中科院分区：
文献类型：
--
作者：
DAMOUR, T;SCHAFER, G
研究了无穷小坐标变换对拉格朗日量和点质量系统的度量泛函的影响。我们展示了如何在不同坐标系下计算广义相对论的第二个后牛顿近似点质量的拉格朗日量。拉格朗日量被证明依赖于加速度除了在一个特殊的坐标系中。这类包括与Arnowitt， Deser和Misner的规范形式主义相关的坐标，但不包括文献中使用的大多数其他坐标系（特别是谐波坐标系）。
We study the effect of an infinitesimal coordinate transformation on the Lagrangian and on the metric functional of a system ofnpoint masses. We show how to compute the Lagrangians ofnpoint masses at the second postNewtonian approximation of general relativity in different coordinate systems. The Lagrangians are shown to depend on the accelerations except in a special class of coordinates. This class includes the coordinates associated with the canonical formalism of Arnowitt, Deser, and Misner, but excludes most other coordinate systems used in the literature (notably the harmonic one).