论文标题
引力辐射分解的双轴谐波II：极端和可比的质量比率黑洞二进制文件的应用
Bi-orthogonal harmonics for the decomposition of gravitational radiation II: applications for extreme and comparable mass-ratio black hole binaries
论文作者
论文摘要
物理系统正常模式的估计是物理学中的基本问题。扰动的Kerr黑洞的准正常模式及其相关的球形谐波是关键的例子，并且在引力波理论和数据分析中具有不同的应用。最近，已经表明，\ textIt {appaint} - 链谐波和相关的球体多极矩可用于估计任意源的辐射模式。在本文中，我们研究了球体多极力矩是否相对于球形谐波对应物，是否可以更好地近似二进制黑洞的基础模式。我们首先简要介绍了伴随性谐波。然后，我们详细介绍了一种基本的球体谐波分解，及其概括同时估计了亲和逆行力矩。提供了来自可比和极端质量比二进制黑洞合并的数值波形的示例应用。我们讨论了Inspiral，合并和RINDDOWN期间相关球体时刻的形态。我们通过讨论引力波理论和信号建模中的潜在应用来结束。
The estimation of a physical system's normal modes is a fundamental problem in physics. The quasi-normal modes of perturbed Kerr black holes, with their related spheroidal harmonics, are key examples, and have diverse applications in gravitational wave theory and data analysis. Recently, it has been shown that \textit{adjoint}-spheroidal harmonics and the related spheroidal multipole moments may be used to estimate the radiative modes of arbitrary sources. In this paper, we investigate whether spheroidal multipole moments, relative to their spherical harmonic counterparts, better approximate the underlying modes of binary black hole spacetimes. We begin with a brief introduction to adjoint-spheroidal harmonics. We then detail a rudimentary kind of spheroidal harmonic decomposition, as well as its generalization which simultaneously estimates pro- and retrograde moments. Example applications to numerical waveforms from comparable and extreme mass-ratio binary black hole coalescences are provided. We discuss the morphology of related spheroidal moments during inspiral, merger, and ringdown. We conclude by discussing potential applications in gravitational wave theory and signal modeling.
