论文标题
高精度后纽顿和数值相对性比较，涉及偏心二进制黑洞的较高模式和主导模式偏心的Inspient Inspiral-Ringdown模型
High accuracy post-Newtonian and numerical relativity comparisons involving higher modes for eccentric binary black holes and a dominant mode eccentric inspiral-merger-ringdown model
论文作者
论文摘要
比较了纽顿后轨道（PN）理论准确至第三后纽顿后秩序中的偏心轨道中的紧凑型二进制的引力波形的球形谐波模式，并比较那些从数值相对性（NR）模拟的二进制黑洞（BBH）中提取的。我们结合了两种方法（PN和NR）的结果，以构建时间域混合波形，这些杂种波形描述了通过Inspiral-Merger-Ringdown（IMR）阶段的BBH合并的完全演变。然后将这些混合动力车用于构建完全分析的主导模式（$ \ ell $ = 2，$ | m | $ = 2）偏心IMR模型。还提出了基于此主要模式模型的多模型模型的简单扩展。与准圆圈IMR波形模型重叠，包括较高模式的效果，在时间和相移时最大化，这暗示着在分析BBHS比$ \ sim 80 m _ _ _ {\ odot andity的bbbhs时，重力的重要性（不匹配$> 1 \％$）在引力波形中的偏心率，bbhs的重点是bbbhs''''\ sim 80 m_ _ {频段）或质量比率。偏心率和较高模式的综合影响似乎通过随着倾斜角度和质量比的增加而变得更加明显。此外，我们表明，最新的准圆形模型（包括较高模式的效果）在提取具有初始偏心率的信号$ e_0 $ $ $ $ \ gtrsim0.1 $的信号中不足。
Spherical harmonic modes of gravitational waveforms for inspiraling compact binaries in eccentric orbits from post-Newtonian (PN) theory accurate to third post-Newtonian order, and those extracted from numerical relativity (NR) simulations for binary black holes (BBHs) are compared. We combine results from the two approaches (PN and NR) to construct time-domain hybrid waveforms that describe the complete evolution of BBH mergers through inspiral-merger-ringdown (IMR) stages. These hybrids are then used in constructing a fully analytical dominant mode ($\ell$=2, $|m|$=2) eccentric IMR model. A simple extension to a multi-mode model based on this dominant mode model is also presented. Overlaps with quasi-circular IMR waveform models including the effect of higher modes, maximized over a time- and phase-shift, hint at the importance (mismatches $>1\%$) of including eccentricity in gravitational waveforms when analysing BBHs lighter than $\sim 80 M_{\odot}$, irrespective of the binary's eccentricity (as it enters the LIGO bands), or mass-ratio. Combined impact of eccentricity and higher modes seems to become more apparent through smaller overlaps with increasing inclination angles and mass ratios. Additionally, we show that the state-of-the-art quasi-circular models including the effect of higher modes will not be adequate in extracting source properties for signals with initial eccentricities $e_0$ $\gtrsim0.1$.
