论文标题
使用LISA约束近超级黑孔的自旋参数
Constraining the spin parameter of near-extremal black holes using LISA
论文作者
论文摘要
我们描述了一个模型，该模型生成一阶绝热EMRI波形，以将紧凑型物体的准圆形赤道灵感变成迅速旋转（近超级）黑洞。使用我们的模型，我们表明丽莎可以以非凡的精度测量近超排黑孔的旋转参数（对于$ a \ gtrsim 0.9999 $），$ \ sim $ \ sim $ 3-4的数量级比中度旋转好，$ a \ sim \ sim 0.9 $。这种自旋测量将是在引力波环境中天体物理参数最严格的测量之一。我们的结果主要基于Fisher矩阵分析，但使用最频繁和贝叶斯技术进行了验证。我们提出了解释这些高自旋精度测量值的分析论点。高精度来自径向灵感演化的自旋依赖性，该依赖性由次级轨道的大地测量特性而不是辐射反应所主导。只有当我们观察到近超排除灵感的近野体状态的信号的指数阻尼时，才有可能进行高精度测量。我们的结果表明，如果存在这样的黑洞，丽莎将能够成功地识别出最高$ a = 1-10^{ - 9} $的迅速旋转的黑洞，远远超过了$ a = 0.998 $的索恩限制。
We describe a model that generates first order adiabatic EMRI waveforms for quasi-circular equatorial inspirals of compact objects into rapidly rotating (near-extremal) black holes. Using our model, we show that LISA could measure the spin parameter of near-extremal black holes (for $a \gtrsim 0.9999$) with extraordinary precision, $\sim$ 3-4 orders of magnitude better than for moderate spins, $a \sim 0.9$. Such spin measurements would be one of the tightest measurements of an astrophysical parameter within a gravitational wave context. Our results are primarily based off a Fisher matrix analysis, but are verified using both frequentest and Bayesian techniques. We present analytical arguments that explain these high spin precision measurements. The high precision arises from the spin dependence of the radial inspiral evolution, which is dominated by geodesic properties of the secondary orbit, rather than radiation reaction. High precision measurements are only possible if we observe the exponential damping of the signal that is characteristic of the near-horizon regime of near-extremal inspirals. Our results demonstrate that, if such black holes exist, LISA would be able to successfully identify rapidly rotating black holes up to $a = 1-10^{-9}$ , far past the Thorne limit of $a = 0.998$.
