一般平面轨道连续单体辐射反应的评估
Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits
摘要：
在本文中，我们评估了不同的分析处方的性能的有效单体（EOB）辐射反应沿一般的平面轨道使用精确的数值结果在测试质量的限制。我们考虑了最近文献中提出的三个处方：（i）准圆处方（QC），（ii）具有二阶后牛顿（2 PN）阶非圆校正的QC（QC 2 PN），以及（iii）由非圆牛顿前因子（NCN）校正的QC。分析通量，然后与精确的通量，通过求解Teukolsky方程与测地运动中的测试质量源计算比较。我们发现，NCN处方是最准确的偏心和双曲轨道，它是在强大的协议也为大的偏心率值。这个结果延续到可比质量，正如我们讨论的数值相对论（NR）的情况下研究。我们还表明，虽然EOB/NR波形不忠实是一个必要的检查EOB模型的精度，EOB/NR通量的直接比较是一个更严格的和翔实的测试，以选择最好的处方。最后，我们提出了一个改进的辐射反应，NCN 2 PN，其中包括非圆形的2 PN修正，在图解的形式，作为进一步的乘法贡献，这是有效的任何质量比。
英文摘要：
In this paper we assess the performances of different analytical prescriptions for the effective-one-body (EOB) radiation reaction along generic planar orbits using exact numerical result in the test-mass limit. We consider three prescriptions put forward in the recent literature: (i) the quasicircular prescription (QC), (ii) the QC with second post-Newtonian (2PN) order noncircular corrections (QC2PN), and (iii) the QC corrected by the noncircular Newtonian prefactor (NCN). The analytical fluxes are then compared against the exact fluxes that are computed by solving the Teukolsky equation with a test-mass source in geodesic motion. We find that the NCN prescription is the most accurate for both eccentric and hyperbolic orbits and it is in robust agreement also for large values of the eccentricity. This result carries over to the comparable masses, as we discuss for a numerical-relativity (NR) case study. We also demonstrate that, while the EOB/NR waveform unfaithfulness is a necessary check for the precision of EOB models, the direct comparison of EOB/NR fluxes is a more stringent and informative test to select the best prescription. Finally, we propose an improved radiation reaction, NCN2PN, that includes noncircular 2PN corrections, in resummed form, as a further multiplicative contribution and that is valid for any mass ratio.
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