论文标题
紧凑型二进制系统的质量四极矩在纽顿后第四阶段
The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order
论文作者
论文摘要
在Newtonian的第四次（4pn）一般相对论的近似值中计算了灵感紧凑型二进制二进制二进制二进制二进制二进制（无旋转）的质量型四极力矩。多极矩在物质系统外部区域的场与近区域的PN场之间的匹配来定义，这是按照多极 - 孔孔科斯基（MPM）-PN形式主义的。匹配意味着根据Hadamard有限零件程序处理无穷大的多极矩的特定正规化（IR）差异。另一方面，由于通过尺寸正则化处理（DR）处理的Delta-punctions对物体建模，因此计算需要超紫（UV）差异。在未来的工作中，我们也打算通过维数正则化系统地研究IR差异。我们的结果构成了以4pn/4.5pn精度获得灵感紧凑型二元系统的重力波模板的重要步骤。
The mass-type quadrupole moment of inspiralling compact binaries (without spins) is computed at the fourth post-Newtonian (4PN) approximation of general relativity. The multipole moments are defined by matching between the field in the exterior zone of the matter system and the PN field in the near zone, following the multipolar-post-Minkowskian (MPM)-PN formalism. The matching implies a specific regularization for handling infra-red (IR) divergences of the multipole moments at infinity, based on the Hadamard finite part procedure. On the other hand, the calculation entails ultra-violet (UV) divergences due to the modelling of compact objects by delta-functions, that are treated with dimensional regularization (DR). In future work we intend to systematically study the IR divergences by means of dimensional regularization as well. Our result constitutes an important step in the goal of obtaining the gravitational wave templates of inspiralling compact binary systems with 4PN/4.5PN accuracy.
