论文标题
紧凑型二进制二进制的四杆矩到纽顿后第四阶：从来源到规范时刻
The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: From Source to Canonical Moment
论文作者
论文摘要
作为从紧凑型二元系统完成第四次纽顿后（4pn）引力波的关键步骤，我们以“源”和“仪表”矩的来源获得了所谓的“规范”源的表达。规范时刻描述了源附近区域之外的重力波的传播，而源和量规矩编码有关物质源的明确信息。这两个描述在两组规范时刻或六组源和量规矩的方面是等值线。因此，我们在第三次后井秩序之间构建了它们之间的非线性差异性，并且我们在4pn阶以规范质量型四极力矩的具体表达。该计算是确定按4PN顺序测定紧凑型二进制系统的重力波相分化的最后一部分。
As a crucial step towards the completion of the fourth post-Newtonian (4PN) gravitational-wave generation from compact binary systems, we obtain the expressions of the so-called "canonical" multipole moments of the source in terms of the "source" and "gauge" moments. The canonical moments describe the propagation of gravitational waves outside the source's near zone, while the source and gauge moments encode explicit information about the matter source. Those two descriptions, in terms of two sets of canonical moments or in terms of six sets of source and gauge moments, are isometric. We thus construct the non-linear diffeomorphism between them up to the third post-Minkowskian order, and we exhibit the concrete expression of the canonical mass-type quadrupole moment at the 4PN order. This computation is one of the last missing pieces for the determination of the gravitational-wave phasing of compact binary systems at 4PN order.
