Multipole analysis for electromagnetism and linearized gravity with irreducible Cartesian tensors.
Multipole analysis for electromagnetism and linearized gravity with irreducible Cartesian tensors.
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使用不可约笛卡尔张量进行电磁和线性重力的多极分析。
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
B. Iyer
中科院分区：
文献类型：
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作者：
T. Damour;B. Iyer
直接利用不可约笛卡尔（即，对称无迹）张量。在电磁场的情况下，我们的结果证实了坎贝尔，Macek和摩根使用德拜势形式主义得到的结果的有效性。然而，在更复杂的线性化重力情况下，笛卡尔多极方法的更大的代数相关性使我们能够第一次获得与时间相关的质量和自旋多极矩的完全正确的封闭形式的表达式（坎贝尔{ital et} {ital al}的结果）。因为质量矩被证明是不正确的）。前两项的引力矩的慢动作展开的明确计算和证明是等价的索恩和Blanchet和Damour早期的结果。
The relativistic time-dependent multipole expansion for electromagnetism and linearized gravity in the region outside a spatially compact source has been obtained directly using the formalism of irreducible Cartesian (i.e., symmetric trace-free) tensors. In the electromagnetic case, our results confirm the validity of the results obtained earlier by Campbell, Macek, and Morgan using the Debye potential formalism. However, in the more complicated linearized gravity case, the greater algebraic transparence of the Cartesian multipole approach has allowed us to obtain, for the first time, fully correct closed-form expressions for the time-dependent mass and spin multipole moments (the results of Campbell {ital et} {ital al}. for the mass moments turning out to be incorrect). The first two terms in the slow-motion expansion of the gravitational moments are explicitly calculated and shown to be equivalent to earlier results by Thorne and by Blanchet and Damour.