论文标题
水疗中心的极端爱：用极高的质量比和半分析，频域波形来限制超质量对象的潮汐变形性
Extreme Love in the SPA: constraining the tidal deformability of supermassive objects with extreme mass ratio inspirals and semi-analytical, frequency-domain waveforms
论文作者
论文摘要
我们通过检测未来丽莎任务的极端质量比（EMRI）来估算超大型紧凑型物体的潮汐爱数量的准确性。非零的爱情数字将是一支吸烟枪，以偏离古典黑洞的普遍相对论。我们发现，LISA检测到的EMRI检测可能会对旋转中心对象的潮汐爱数设置约束，该对象具有无量纲的旋转$ \ hat a = 0.9 $（$ \ hat a = 0.99 $），该对象比当前的基于stellar-mass binaries的地面检测器可实现的尺寸大约四（六）个巨大级数。我们的方法基于固定相的近似，以在频域中获得近似但准确的半分析EMRI波形，这大大加快了高精度的Fisher-Fisher-Felling-Fordrivation Matrix计算。这种方法可以轻松地扩展到其他几种使用EMRI的重力测试，并同时有效地解释波形中的多个偏差。
We estimate the accuracy in the measurement of the tidal Love number of a supermassive compact object through the detection of an extreme mass ratio inspiral~(EMRI) by the future LISA mission. A nonzero Love number would be a smoking gun for departures from the classical black hole prediction of General Relativity. We find that an EMRI detection by LISA could set constraints on the tidal Love number of a spinning central object with dimensionless spin $\hat a=0.9$ ($\hat a=0.99$) which are approximately four (six) orders of magnitude more stringent than what achievable with current ground-based detectors for stellar-mass binaries. Our approach is based on the stationary phase approximation to obtain approximate but accurate semi-analytical EMRI waveforms in the frequency-domain, which greatly speeds up high-precision Fisher-information matrix computations. This approach can be easily extended to several other tests of gravity with EMRIs and to efficiently account for multiple deviations in the waveform at the same time.
