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arXiv 2003.06602astro-ph.COgr-qc
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脉冲星定时阵的测地噪声和引力波观测

Geodesic Noise and Gravitational Wave Observations by Pulsar Timing Arrays

Sebastian Golat, Carlo R. Contaldi

摘要:

来自毫秒星的信号沿着测地线沿着视线传播到我们这里,这受到时空度量的影响。精确的路径几何和沿测地线的红移决定了观测到的脉冲到达时间(ToA)。这个度规是由星系中暗物质、气体和恒星的分布决定的,在旅行的最后阶段,则由太阳系天体的分布决定。恒星质量的不均匀分布可以通过测地线的扰动对ToA产生小但显著的统计影响。这将导致ToA观测中的额外噪声,可能会影响脉冲星定时阵列(PTA)对非常低频率的引力波的约束。我们采用一个简单的模型,在我们的银河系中的恒星分布,以估计静态和动态源的规模,我们一般称之为“测地噪声”。我们发现,测地线噪声具有${\cal O}(10)$ ns的标准偏差为典型的视线。这表明测地线噪声与PTA灵敏度的估计相关,并且可能限制PTA未来探测引力波的努力。

英文摘要:

Signals from millisecond pulsars travel to us on geodesics along the line-of-sight that are affected by the space--time metric. The exact path-geometry and redshifting along the geodesics determine the observed Time-of-Arrival (ToA) of the pulses. The metric is determined by the distribution of dark matter, gas, and stars in the galaxy and, in the final stages of travel, by the distribution of solar system bodies. The inhomogeneous distribution of stellar masses can have a small but significant statistical effect on the ToAs through the perturbation of geodesics. This will result in additional noise in ToA observations that may affect Pulsar Timing Array (PTA) constraints on gravitational waves at very low frequencies. We employ a simple model for the stellar distribution in our galaxy to estimate the scale of both static and dynamic sources of what we term generically "geodesic noise". We find that geodesic noise has a standard deviation of ${\cal O}(10)$ ns for typical lines-of-sight. This suggests geodesic noise is relevant for estimates of PTA sensitivity and may limit future efforts for detection of gravitational waves by PTAs.

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