Quadrupole-quadrupole gravitational waves
Quadrupole-quadrupole gravitational waves
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四极-四极引力波
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
L. Blanchet
中科院分区：
文献类型：
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作者：
L. Blanchet
本文研究孤立系统产生的四极引力波的非线性自相互作用。真空爱因斯坦场方程用后Minkowskian算法在系统外部区域积分。具体到四极-四极相互作用(在二次非线性阶)，我们恢复了关于考虑四极波发射的系统的ADM质量能量的非局域修正以及线性波的应力-能量分布的再辐射引起的非局域记忆效应的已知结果。然后，我们计算在四极-四极度规中与后一种非局域效应相关的所有局域(瞬时)项。在距离系统很远的地方展开度规，我们得到了相应的辐射场可观测值，包括所有的非局域贡献和瞬时贡献。值得注意的是，这允许在后牛顿数量级完成可观察到的四极矩。
This paper investigates the nonlinear self-interaction of quadrupole gravitational waves generated by an isolated system. The vacuum Einstein field equations are integrated in the region exterior to the system by means of a post-Minkowskian algorithm. Specializing to the quadrupole-quadrupole interaction (at the quadratic nonlinear order), we recover the known results concerning the non-local modification of the ADM mass-energy of the system accounting for the emission of quadrupole waves, and the non-local memory effect due to the re-radiation by the stress-energy distribution of linear waves. We then compute all the local (instantaneous) terms which are associated, in the quadrupole-quadrupole metric, with the latter non-local effects. Expanding the metric at large distances from the system, we obtain the corresponding radiation-field observables, including all non-local and transient contributions. This permits, notably, the completion of the observable quadrupole moment at the post-Newtonian order.