标题： 自旋诱导四极矩搜索的降维波形 显示英文标题

标题： Dimensionally Reduced Waveforms for Spin-Induced Quadrupole Searches

摘要： 我们提出了高度精确的、降维的引力波波形，用于其组成天体具有大自旋诱导四极矩的双星并合系统。 天体的自旋诱导四极矩首次出现在双星并合早期阶段的波形相位中，使其成为探测该天体内禀结构的一种相对清晰的探针。 然而，对于具有显著偏离克尔度规的四极矩的天体，使用双黑洞（BBH）模型进行搜索将是无效的。 为了实现计算上可行的搜索，我们提出了两种降维模型，这些模型源自于原始的六维后牛顿近似波形。 我们的降维方法基于后牛顿展开中的幂次计数、源物理的合适重新参数化以及截断相位中在大多数物理解释上合理的参数空间区域中较小的项。 此外，我们注意到大的四极矩偏差会导致双星系统达到最小结合能时的频率显著降低。 这个最小值标志着并合阶段的结束，并为后牛顿近似波形提供了自然截止点。 我们提供了这些频率截止点的准确解析估计。 最后，我们进行了注入研究以测试降维波形的有效性。 我们发现，超过$80\%$的注入具有$\varepsilon > 0.999$的有效性，显著高于通常所需的普通BBH银行的标准，适用于具有$|\chi_i| \lesssim 0.6$的组成天体自旋和$\kappa_i \lesssim 10^3$的无量纲四极矩的系统。 重要的是，这些波形代表了迈向有效搜寻具有大四极矩的天体物理对象的重要第一步。 显示英文摘要

摘要： We present highly accurate, dimensionally-reduced gravitational waveforms for binary inspirals whose components have large spin-induced quadrupole moments. The spin-induced quadrupole of a body first appears in the phase of a waveform at the early inspiral stage of the binary coalescence, making it a relatively clean probe of the internal structure of the body. However, for objects with large quadrupolar deviations from Kerr, searches using binary black hole (BBH) models would be ineffective. In order to perform a computationally-feasible search, we present two dimensionally-reduced models which are derived from the original six-dimensional post-Newtonian waveform for such systems. Our dimensional reduction method is guided by power counting in the post-Newtonian expansion, suitable reparameterizations of the source physics, and truncating terms in the phase that are small in most physically well-motivated regions of parameter space. In addition, we note that large quadrupolar deviations cause the frequency at which a binary system reaches its minimum binding energy to be reduced substantially. This minimum signals the end of the inspiral regime and provides a natural cutoff for the PN waveform. We provide accurate analytic estimates for these frequency cutoffs. Finally, we perform injection studies to test the effectualness of the dimensionally reduced waveforms. We find that over $80\%$ of the injections have an effectualness of $\varepsilon > 0.999$, significantly higher than is typically required for standard BBH banks, for systems with component spins of $|\chi_i| \lesssim 0.6$ and dimensionless quadrupole of $\kappa_i \lesssim 10^3$. Importantly, these waveforms represent an essential first step towards enabling an effective search for astrophysical objects with large quadrupoles.