Notes on the integration of numerical relativity waveforms
Notes on the integration of numerical relativity waveforms
复制标题
数值相对论波形积分的注意事项
DOI：
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复制
发表时间：
2010
期刊：
影响因子：
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通讯作者：
D. Pollney
中科院分区：
文献类型：
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作者：
C. Reisswig;D. Pollney
数值相对论的主要目标是提供对来自强引力波源的波应变h的估计，以用于探测器模板。然而，这些模拟通常是根据Weyl曲率分量ψ4来测量波浪。假设邦迪规范，转换为应变h的时间退化为ψ4的两次积分。然而，无论是在时间域还是在频域进行积分，都会导致最终应变h中的长期非线性漂移。这些非线性漂移不能用两个未知的积分常数来解释，这两个未知的积分常数最多只能导致线性漂移。我们确定了在整合有限长度、离散采样和有噪声的数据流时可能出现的一些基本困难。这些问题是后处理数据的产物。它们与原始模拟的特性无关，例如所使用的量规或数值方法。然而，我们建议了一种在频域中积分数值波形的简单方法，它有效地强烈地减少了由此产生的应变中的虚假长期非线性漂移。
The primary goal of numerical relativity is to provide estimates of the wave strain, h, from strong gravitational wave sources, to be used in detector templates. The simulations, however, typically measure waves in terms of the Weyl curvature component, ψ4. Assuming Bondi gauge, transforming to the strain h reduces to integration of ψ4 twice in time. Integrations performed in either the time or frequency domain, however, lead to secular nonlinear drifts in the resulting strain h. These nonlinear drifts are not explained by the two unknown integration constants which can at most result in linear drifts. We identify a number of fundamental difficulties which can arise from integrating finite length, discretely sampled and noisy data streams. These issues are an artifact of post-processing data. They are independent of the characteristics of the original simulation, such as gauge or numerical method used. We suggest, however, a simple procedure for integrating numerical waveforms in the frequency domain, which is effective at strongly reducing spurious secular nonlinear drifts in the resulting strain.
影响因子：
8.6
作者：
Ajith, P.;Hannam, M.;Seiler, J.
通讯作者：
Seiler, J.