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arXiv 1510.03436astro-ph.CO
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莱曼α森林中的相对论效应

Relativistic effects in Lyman-alpha forest

Vid Iršič, Enea Di Dio, Matteo Viel

摘要:

本文计算了一阶完全相对论修正的Lyman-α(Lyman- $α$)透射通量涨落。尽管有几项研究存在于星系团的相对论效应,这是第一个研究扩展到一个不同的示踪剂在独特的红移范围($z=2-5$)的基础物质的形式主义。此外,我们展示了我们计算的类星体莱曼- $α$交叉关联函数的综合应用。我们的结果表明,相对论效应的信号是相当大的重子声学振荡(BAO)的规模,主要是由于我们的示踪剂的密度偏置因子的大的差异。我们构造了一个可观测的,反对称部分的交叉关联函数,这是占主导地位的相对论信号,并提供了一种新的方法来测量相对论项在相对较小的尺度。分析表明,相对论效应是重要的,当考虑示踪剂之间的交叉相关性非常不同的偏见,并应包括在数据分析的当前和未来的调查。此外,本文提出的想法是高度互补的其他技术和观察试图隔离的相对论性修正的影响,从而测试牛顿政权以外的引力理论的有效性。

英文摘要:

We present the calculation of the Lyman-alpha (Lyman-$α$) transmitted flux fluctuations with full relativistic corrections to the first order. Even though several studies exist on relativistic effects in galaxy clustering, this is the first study to extend the formalism to a different tracer of underlying matter at unique redshift range ($z=2-5$). Furthermore, we show a comprehensive application of our calculations of the Quasar-Lyman-$α$ cross-correlation function. Our results indicate that the signal of relativistic effects is sizeable at Baryonic Acoustic Oscillation (BAO) scale mainly due to the large difference in density bias factors of our tracers. We construct an observable, the anti-symmetric part of the cross-correlation function, that is dominated by the relativistic signal and offers a new way to measure the relativistic terms at relatively small scales. The analysis shows that relativistic effects are important when considering cross-correlations between tracers with very different biases, and should be included in the data analysis of the current and future surveys. Moreover, the idea presented in this paper is highly complementary to other techniques and observable trying to isolate the effect of the relativistic corrections and thus test the validity of the theory of gravity beyond the Newtonian regime.

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