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arXiv 1603.09348astro-ph.GAastro-ph.CO
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动态测量的超大质量黑洞样品中的选择偏差:脉冲星定时阵列的结果

Selection bias in dynamically-measured super-massive black hole samples: consequences for pulsar timing arrays

A. Sesana, F. Shankar, M. Bernardi, R. K. Sheth

摘要:

超大质量黑洞与宿主星系的关系是计算脉冲星计时阵列(PTA)频段内预期的引力波背景(GWB)的关键。最近有人指出,GWB计算中采用的标准关系实际上偏高。我们表明,当考虑到这种选择偏差,预期的GWB在PTA波段是一个因素,约3比以前估计的小。与文献中最近发表的其他比例关系相比,$f=1$ yr $^{-1}$处的信号的中值幅度从$1.3\times10^{-15}$下降到$4\times10^{-16}$。虽然这解决了理论预测和最近PTA限制之间的任何潜在紧张关系,而不会引起其他动力学效应(如失速,偏心或与银河系环境的强耦合),但它也使GWB探测更具挑战性。

英文摘要:

Supermassive black hole -- host galaxy relations are key to the computation of the expected gravitational wave background (GWB) in the pulsar timing array (PTA) frequency band. It has been recently pointed out that standard relations adopted in GWB computations are in fact biased-high. We show that when this selection bias is taken into account, the expected GWB in the PTA band is a factor of about three smaller than previously estimated. Compared to other scaling relations recently published in the literature, the median amplitude of the signal at $f=1$yr$^{-1}$ drops from $1.3\times10^{-15}$ to $4\times10^{-16}$. Although this solves any potential tension between theoretical predictions and recent PTA limits without invoking other dynamical effects (such as stalling, eccentricity or strong coupling with the galactic environment), it also makes the GWB detection more challenging.

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