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arXiv 1210.6014astro-ph.IMastro-ph.COgr-qc
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在第一次国际脉冲星定时阵列数据挑战中衡量引力波背景的证据

Weighing The Evidence For A Gravitational-Wave Background In The First International Pulsar Timing Array Data Challenge

Stephen R. Taylor, Jonathan R. Gair, L. Lentati

摘要:

我们描述了第一次国际脉冲星定时阵列数据挑战的分析。我们采用van Haasteren开发的一个强大的,无偏的贝叶斯框架来研究三个开放和封闭数据集,测试每个数据集的各种模型,并使用MultiNest来恢复贝叶斯模型选择的证据。使用自适应MCMC技术的参数约束的青睐的模型进行确认。我们对闭合1的结果支持引力波背景,其在f=1 yr-1时的应变振幅A为(1.1 +/- 0.1)x 10^{-14},功率谱指数γ =4.30 +/- 0.15,并且没有证据表明存在红色定时噪声或单源。闭合2的证据支持引力波背景,A=(6.1 +/- 0.3)x 10^{-14},伽马=4.34 +/- 0.09,没有红色定时噪声或单一来源。最后,Closed 3的证据支持红色定时噪声和引力波背景的存在,没有单一来源。背景的性质为A=(5 +/- 1)x 10^{-15}和伽马=4.23 +/- 0.35,而红噪声的性质为N_{red} =(12 +/- 4)ns和gamma_{red} =1.5 +/- 0.3。在所有的情况下,恢复的背景的红色是一致的源人口的吸入超大质量黑洞二进制文件。我们还研究了数据集的下采样对参数约束和运行时间的影响。最后,我们提供了一个证明的原理研究的能力,本文中使用的贝叶斯框架重建的角度相关的引力波背景引起的定时残差,比较这到海林斯和唐斯曲线。

英文摘要:

We describe an analysis of the First International Pulsar Timing Array Data Challenge. We employ a robust, unbiased Bayesian framework developed by van Haasteren to study the three Open and Closed datasets, testing various models for each dataset and using MultiNest to recover the evidence for the purposes of Bayesian model-selection. The parameter constraints of the favoured model are confirmed using an adaptive MCMC technique. Our results for Closed1 favoured a gravitational-wave background with strain amplitude at f=1 yr-1, A, of (1.1 +/- 0.1) x 10^{-14}, power spectral-index gamma=4.30 +/- 0.15 and no evidence for red-timing noise or single-sources. The evidence for Closed2 favours a gravitational-wave background with A=(6.1 +/- 0.3) x 10^{-14}, gamma=4.34 +/- 0.09 with no red-timing noise or single-sources. Finally, the evidence for Closed3 favours the presence of red-timing noise and a gravitational-wave background, with no single-sources. The properties of the background were A=(5 +/- 1) x 10^{-15} and gamma=4.23 +/- 0.35, while the properties of the red-noise were N_{red}=(12 +/- 4) ns and gamma_{red}=1.5 +/- 0.3. In all cases the redness of the recovered background is consistent with a source-population of inspiraling supermassive black-hole binaries. We also investigate the effect that down-sampling of the datasets has on parameter constraints and run-time. Finally we provide a proof-of-principle study of the ability of the Bayesian framework used in this paper to reconstruct the angular correlation of gravitational-wave background induced timing-residuals, comparing this to the Hellings and Downs curve.

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