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arXiv 2201.06767gr-qcastro-ph.CO
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脉冲星定时阵观测中极化随机引力波背景的定时剩余功率谱

Timing-residual power spectrum of a polarized stochastic gravitational-wave background in pulsar-timing-array observation

Guo-Chin Liu, Kin-Wang Ng

摘要:

研究了脉冲星定时阵列在球谐空间中对随机引力波背景的观测。而不是使用夏皮罗时间延迟,我们保持萨克斯-沃尔夫视线积分的观测脉冲星的时间残差。我们推导出的定时残差的功率谱,从其中的重叠减少功能和双极球谐系数构造的SGWB强度和偏振各向异性。我们复制了以前的结果,注意到我们已经开发出一种快速算法来计算精确的重叠减少功能和双极球谐系数的线性偏振各向异性的第一次制定。我们的谐波空间的方法是有用的,为未来的脉冲星定时阵列观测上的几千颗星,并提供最佳的估计测试的统计各向同性的SGWB。

英文摘要:

We study the observation of stochastic gravitational-wave background (SGWB) made by pulsar-timing arrays in the spherical harmonic space. Instead of using the Shapiro time delay, we keep the Sachs-Wolfe line-of-sight integral for the timing residual of an observed pulsar. We derive the power spectrum of the timing residual, from which the overlap reduction functions and the bipolar spherical harmonics coefficients are constructed for the SGWB intensity and polarization anisotropies. We have reproduced the previous results, noting that we have developed a fast algorithm for computing accurate overlap reduction functions and the bipolar spherical harmonics coefficients for the linear-polarization anisotropy are worked out for the first time. Our harmonic-space method is useful for future pulsar-timing-array observation on a few thousand pulsars and provides optimal estimators for testing the statistical isotropy of the SGWB.

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