Singular value decomposition in parametrized tests of post-Newtonian theory
Singular value decomposition in parametrized tests of post-Newtonian theory
复制标题
后牛顿理论参数化检验中的奇异值分解
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
K. Arun
中科院分区：
文献类型：
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作者：
A. Pai;K. Arun
在圆轨道上运动的非自旋致密双星的3.5后牛顿（PN）相位公式的各种系数完全由两分量质量来表征。如果独立测量其中两个系数，就可以估计质量。未来的引力波观测可能会测量到迄今为止计算的八个独立PN系数中的大部分。这些额外的测量可以用来测试具有类似PN结构的引力基础理论的PN预测。由于所有这些参数都是两个分量质量的函数，因此当单独处理时，这些参数之间存在很强的相关性。利用Fisher信息矩阵的奇异值分解，我们消除了这些相关性，得到了一组新的参数，这些参数是原始相位系数的线性组合。我们表明，新的参数集可以以显着提高的精度进行估计，这对在数据分析管道中实施PN理论参数化测试的持续努力具有重要意义。
Various coefficients of the 3.5 post-Newtonian (PN) phasing formula of non-spinning compact binaries moving in circular orbits is fully characterized by the two component masses. If two of these coefficients are independently measured, the masses can be estimated. Future gravitational wave observations may measure most of the eight independent PN coefficients calculated to date. These additional measurements can be used to test the PN predictions of the underlying theory of gravity with a similar PN structure. Since all of these parameters are functions of the two component masses, there is a strong correlation between the parameters when treated independently. Using singular value decomposition of the Fisher information matrix, we remove these correlations and obtain a new set of parameters which are a linear combination of the original phasing coefficients. We show that the new set of parameters can be estimated with significantly improved accuracies which have implications for the ongoing efforts to implement parametrized tests of PN theory in the data analysis pipelines.