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arXiv 2411.09652gr-qchep-th
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黑洞的强场散射:评估重求和策略

Strong Field Scattering of Black Holes: Assessing Resummation Strategies

Shaun Swain, Geraint Pratten, Patricia Schmidt

AI总结:

本文通过等质量无自旋双黑洞高能数值相对论散射模拟,系统比较三种PM重求和方案,指出其高能病态并表明高阶信息及EOB径向势重求和可改善解析预测。

摘要:

后闵可夫斯基(PM)计算的最新进展带来了快速增长的弱场微扰信息。因此,引力波界对如何利用这些信息提高理论波形模型的准确性抱有浓厚兴趣。在本工作中,我们基于近期利用数值相对论模拟验证高阶PM计算的努力,提出了一组新的等质量、无自旋双黑洞高能散射模拟,进一步扩展了现有的NR模拟套件。我们概述了近期提出的三种重求和方案($\mathscr{L}$-resummed模型、$w^\mathrm{eob}$模型和SEOB-PM模型)的基本特征,并将解析预测与我们的NR数据进行比较。结果表明,每个模型在高能下都表现出病态行为,具有PM层级偏移和发散等共同特征。NR数据还可用于校准散射角或EOB径向势的伪5PM修正。在每种情况下,我们都认为纳入高阶信息可改善解析模型与NR之间的一致性,尽管改善程度取决于这些信息的纳入方式以及解析基线的选择。最后,我们证明对EOB径向势作进一步重求和可能是提升模型一致性的有效策略。

英文摘要:

Recent developments in post-Minkowksian (PM) calculations have led to a fast-growing body of weak-field perturbative information. As such, there is major interest within the gravitational wave community as to how this information can be used to improve the accuracy of theoretical waveform models. In this work, we build on recent efforts to validate high-order PM calculations using numerical relativity simulations. We present a new set of high-energy scattering simulations for equal-mass, non-spinning binary black holes, further expanding the existing suite of NR simulations. We outline the basic features of three recently proposed resummation schemes (the $\mathscr{L}$-resummed model, the $w^\mathrm{eob}$ model and the SEOB-PM model) and compare the analytical predictions to our NR data. Each model is shown to demonstrate pathological behaviour at high energies, with common features such as PM hierarchical shifts and divergences. The NR data can also be used to calibrate pseudo-5PM corrections to the scattering angle or EOB radial potentials. In each case, we argue that including higher-order information improves the agreement between the analytical models and NR, though the extent of improvement depends on how this information is incorporated and the choice of analytical baseline. Finally, we demonstrate that further resummation of the EOB radial potentials could be an effective strategy to improving the model agreement.

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