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arXiv 0901.4936gr-qcastro-ph.CO
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用地面引力波探测器估算非自旋双黑洞的参数:统计误差

Estimating the parameters of non-spinning binary black holes using ground-based gravitational-wave detectors: Statistical errors

P. Ajith, Sukanta Bose

摘要:

(摘要):我们评估的统计误差估计非自旋黑洞双星的参数使用地面引力波探测器。虽然过去的评估仅基于合并信号的inspiral/ring-down片段,但最近在分析和数值相对性方面的进展使我们能够使用“完整”的inspiral合并-ring-down波形进行更准确的预测。我们采用Fisher矩阵形式主义来估计如何准确的源参数将使用一个单一的干涉仪以及网络的干涉仪测量。这些估计值进一步通过蒙特卡罗模拟进行验证。我们发现,在总质量M > 20 Msun的双星中,完整波形的参数精度通常明显优于仅螺旋波形的参数精度。对于Advanced LIGO探测器的情况,参数估计在M=100-200 M_sun范围内最准确。对于M=100M_sun的系统,测量总质量和对称质量比的误差与螺旋波形相比减少了一个数量级或更多。对于位于光度距离d_L并使用Advanced LIGO-Advanced Virgo网络观察的双星,天空位置误差在整个天空中变化很大:对于d_L=1Gpc的M= 100 M_sun系统,这种变化范围为~0.01平方度到1平方度,平均值为~0.1平方度。这比在这个质量范围内的螺旋波形的平均天空位置精度好40倍以上。在d_L=1Gpc时,低质量双星的d_L估计误差约为43%,高质量双星的d_L估计误差约为23%。

英文摘要:

(Abridged): We assess the statistical errors in estimating the parameters of non-spinning black-hole binaries using ground-based gravitational-wave detectors. While past assessments were based on only the inspiral/ring-down pieces of the coalescence signal, the recent progress in analytical and numerical relativity enables us to make more accurate projections using "complete" inspiral-merger-ringdown waveforms. We employ the Fisher matrix formalism to estimate how accurately the source parameters will be measurable using a single interferometer as well as a network of interferometers. Those estimates are further vetted by Monte-Carlo simulations. We find that the parameter accuracies of the complete waveform are, in general, significantly better than those of just the inspiral waveform in the case of binaries with total mass M > 20 M_sun. For the case of the Advanced LIGO detector, parameter estimation is the most accurate in the M=100-200 M_sun range. For an M=100M_sun system, the errors in measuring the total mass and the symmetric mass-ratio are reduced by an order of magnitude or more compared to inspiral waveforms. For binaries located at a luminosity distance d_L and observed with the Advanced LIGO--Advanced Virgo network, the sky-position error varies widely across the sky: For M=100M_sun systems at d_L=1Gpc, this variation ranges from ~0.01 square-degrees to one square-degree, with an average value of ~0.1 square-degrees. This is more than forty times better than the average sky-position accuracy of inspiral waveforms at this mass-range. The error in estimating d_L is dominated by the error in measuring the wave's polarization and is ~43% for low-mass binaries and ~23% for high-mass binaries located at d_L=1Gpc.

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