论文标题
以3.5pn阶的自旋对准二进制物对重力波模式的自旋贡献
Spin contributions to the gravitational-waveform modes for spin-aligned binaries at the 3.5PN order
论文作者
论文摘要
我们以3.5pn顺序完成了牛顿后(PN)的预测,以旋转通过灵感的紧凑型二进制物发出的重力波形,在准圆形赤道轨道的情况下,这两种旋转都与轨道的角动量对齐。利用多极后水波产生形式主义的结果,我们扩展了以前的作品,这些作品通过计算以自旋加权球形谐波分解的完整波形来得出动力学和引力波能通量和相位。这项新计算需要计算较高多极顺序的多极矩,即以3.5pn顺序输入的遗传尾术以及矩之间的其他非线性相互作用。当专门针对测试质量极限时,我们的结果等效于文献中获得的波形,该波形是由赤道黑洞周围赤道圆形轨道中发出的波形。我们还计算用于用于有效的一个体波形模型的分解模式,以在当前模型中使用的(2,1)模式中校正2.5pn非键和3pn二次旋转项。
We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are aligned with the orbital angular momentum. Using results from the multipolar post-Minkowskian wave generation formalism, we extend previous works that derived the dynamics and gravitational-wave energy flux and phasing, by computing the full waveform decomposed in spin-weighted spherical harmonics. This new calculation requires the computation of multipolar moments of higher multipolar order, new quadratic-in-spin contributions to the hereditary tail terms entering at the 3.5PN order, as well as other non-linear interactions between moments. When specialized to the test-mass limit, our results are equivalent to those obtained in the literature for the waveform emitted by a test-mass in equatorial, circular orbits around a Kerr black hole. We also compute the factorized modes for use in effective-one-body waveform models, correcting the 2.5PN nonspinning and 3PN quadratic-in-spin terms in the (2,1) mode used in current models.