Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
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DOI：
10.1103/physrevd.83.064003
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发表时间：
2010-06
影响因子：
5
通讯作者：
Yi Pan;A. Buonanno;R. Fujita;É. Racine;H. Tagoshi
中科院分区：
文献类型：
--
作者：
Yi Pan;A. Buonanno;R. Fujita;É. Racine;H. Tagoshi
在轨道速度v 0:4的情况下，克尔自旋值q 0:95之前的数值幅值与数值幅值相当吻合。数值振幅是用谱码求解Teukolsky方程计算得到的。在高速下，通过适当地分解出m中的低阶后牛顿贡献，克尔黑洞的顺行轨道和大自旋值的一致性可以进一步得到改善。与标准的泰勒扩展后牛顿近似相比，恢复过程在数值和解析振幅（和能量通量）之间产生了更好的和系统的一致性。对于高阶模式尤其如此，例如（2,1），（3,3），（3,2）和（4,4），对于这些模式，已知的自旋后牛顿项较少。我们还将多极振幅的因式恢复推广到一般质量比、非加工、旋转黑洞。最后，在我们的研究中，我们在几个次主导模式中使用了新的，最近计算的高阶后牛顿项，并分别计算了对奇宇称（电流）和偶宇称（奇）多极的一半和一半后牛顿贡献的显式表达式。这些结果可用于为地基和天基引力波探测器构建更精确的模板。
‘m , agree quite well with the numerical amplitudes up to the Kerr-spin value q � 0:95 for orbital velocities v � 0:4. The numerical amplitudes are computed solving the Teukolsky equation with a spectral code. The agreement for prograde orbits and large spin values of the Kerr blackhole can be further improved at high velocities by properly factoring out the lower-order post-Newtonian contributions in � ‘m. The resummation procedure results in a better and systematic agreement between numerical and analytical amplitudes (and energy fluxes) than standard Taylor-expanded post-Newtonian approximants. This is particularly true for higher-order modes, such as (2,1), (3,3), (3,2), and (4,4), for which less spin post-Newtonian terms are known. We also extend the factorized resummation of multipolar amplitudes to generic mass-ratio, nonprecessing, spinning black holes. Lastly, in our study we employ new, recently computed, higher-order post-Newtonian terms in several subdominant modes and compute explicit expressions for the half and one-and-half post-Newtonian contributions to the odd-parity (current) and even-parity (odd) multipoles, respectively. Those results can be used to build more accurate templates for ground-based and space-based gravitational-wave detectors.