Gravitational-wave echoes from numerical-relativity waveforms via spacetime construction near merging compact objects
Gravitational-wave echoes from numerical-relativity waveforms via spacetime construction near merging compact objects
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DOI：
10.1103/physrevd.105.104007
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发表时间：
2022-03
影响因子：
5
通讯作者：
Sizheng Ma;Qingwen Wang;N. Deppe;F. H'ebert;Lawrence E. Kidder;Jordan Moxon;William Throwe;Nils L. Vu;M. Scheel;Yanbei Chen
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文献类型：
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作者：
Sizheng Ma;Qingwen Wang;N. Deppe;F. H'ebert;Lawrence E. Kidder;Jordan Moxon;William Throwe;Nils L. Vu;M. Scheel;Yanbei Chen
我们提出了一种新的方法，用于重建合并二进制黑洞的较晚近水压几何形状，以及从异国情调的紧凑物体中计算重力波回声。二进制黑洞合并时空可以通过时间样的超表面分为黑洞扰动（BHP）区域，其中最终Kerr黑洞的均质线性扰动和非线性区域可以通过时空几何形状近似。在后期，两个区域之间的边界是一个插入的壳。必和必拓地区包含向未来地平线发出的后期引力波，以及向未来无效无穷大发射的。在该区域，通过在过去的空无穷大处施加不介绍波条件，并在未来的零无穷大时与从数值相对性计算的波形匹配，我们可以获得向未来视野传播的波。特别是，与地平线上的波浪相关的Newman-Penrose $ \ psi_0 $与浮动的观察者所测量的潮汐变形有关。我们进一步确定了BHP区域在将来的范围内的边界，该边界可以施加$ \ psi_0 $内部的$ \ psi_0 $可以由准正常模式忠实地代表。使用一种物理动机的方式来施加地平线附近的边界条件，并应用所谓的Boltzmann反射率，我们计算了非旋转ECOS的准正常模式以及重力波的回声。我们还研究了这些回波在当前和将来的检测器中的可检测性，以及参数估计的前景。
We propose a new approach toward reconstructing the late-time near-horizon geometry of merging binary black holes, and toward computing gravitational-wave echoes from exotic compact objects. A binary black-hole merger spacetime can be divided by a time-like hypersurface into a Black-Hole Perturbation (BHP) region, in which the space-time geometry can be approximated by homogeneous linear perturbations of the final Kerr black hole, and a nonlinear region. At late times, the boundary between the two regions is an infalling shell. The BHP region contains late-time gravitational-waves emitted toward the future horizon, as well as those emitted toward future null infinity. In this region, by imposing no-ingoing wave conditions at past null infinity, and matching out-going waves at future null infinity with waveforms computed from numerical relativity, we can obtain waves that travel toward the future horizon. In particular, the Newman-Penrose $\psi_0$ associated with the in-going wave on the horizon is related to tidal deformations measured by fiducial observers floating above the horizon. We further determine the boundary of the BHP region on the future horizon by imposing that $\psi_0$ inside the BHP region can be faithfully represented by quasi-normal modes. Using a physically-motivated way to impose boundary conditions near the horizon, and applying the so-called Boltzmann reflectivity, we compute the quasi-normal modes of non-rotating ECOs, as well as gravitational-wave echoes. We also investigate the detectability of these echoes in current and future detectors, and prospects for parameter estimation.