二维点质量系综的第三后牛顿引力波产生的尺度正则化
广义相对论与量子宇宙学
2007-12-19 v1
摘要
应用尺度正则化计算由compact binary 在第三后牛顿（3PN）近似下产生的引力波场。我们将波生成公式从孤立的后牛顿物质系统推广到d维空间，并应用于点质量（不含自旋）模型，即delta函数奇点。我们发现， 在h harmonic 坐标下，点质量二体的偶极矩在3PN阶包含当epsilon = d-3 -> 0 时的极点。证明该极点可通过与我们最近推导3PN运动方程式相同的方式（即对粒子世界线的位移）进行renormalization而消除。得到的renormalized（当epsilon -> 0 时为有限的）偶极矩导致xi、kappa和zeta三个歧义参数具有唯一值，这些参数在以Hadamard正则化方法的先前计算中被引入。present several checks of these values. These results complete the derivation of the gravitational waves emitted by inspiralling compact binaries up to the 3.5PN level of accuracy which is needed for detection and analysis of the signals in the gravitational-wave antennas LIGO/VIRGO and LISA。
引用
@article{arxiv.gr-qc/0503044,
title = {Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses},
author = {Luc Blanchet and Thibault Damour and Gilles Esposito-Farese and Bala R. Iyer},
journal= {arXiv preprint arXiv:gr-qc/0503044},
year = {2007}
}
备注
60 pages, LaTeX 2e, REVTeX 4, 10 PostScript files (1 figure and 9 Young tableaux used in the text)