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arXiv 2103.14016astro-ph.CO
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基于色散测度的宇宙学观测量中的线性各向异性

Linear anisotropies in dispersion-measure-based cosmological observables

David Alonso

摘要:

我们导出了在宇宙学扰动中,包括密度涨落和相对论效应在内的对电磁脉冲线性阶色散测度的所有贡献。然后,我们使用这个结果来计算DM为基础的宇宙学观测量的功率谱的线性秩序的扰动。特别是,我们研究了两种情况下:地图的分散措施从一组本地化的源(包括源聚类的影响),和波动的DM选定的源的密度。大多数相对论效应的影响仅限于大的角度尺度,并且在针对快速射电暴的正在进行的和设想的观测计划的背景下,对于所有实际应用来说都是可以忽略的。我们比较了DM空间集群的主要贡献,包括引力透镜的影响,并发现信号主要是由自由电子列密度的波动,而不是本地源集群或透镜的贡献。为了弥补相对论效应令人失望的无关性,我们重新推导出它们的大质量粒子的测地线方程在扰动的弗里德曼-罗伯逊-沃克度规。

英文摘要:

We derive all contributions to the dispersion measure (DM) of electromagnetic pulses to linear order in cosmological perturbations, including both density fluctuations and relativistic effects. We then use this result to calculate the power spectrum of DM-based cosmological observables to linear order in perturbations. In particular, we study two cases: maps of the dispersion measure from a set of localized sources (including the effects of source clustering), and fluctuations in the density of DM-selected sources. The impact of most relativistic effects is limited to large angular scales, and is negligible for all practical applications in the context of ongoing and envisaged observational programs targeting fast radio bursts. We compare the leading contributions to DM-space clustering, including the effects of gravitational lensing, and find that the signal is dominated by the fluctuations in the free electron column density, rather than the local source clustering or lensing contributions. To compensate for the disappointing irrelevance of relativistic effects, we re-derive them in terms of the geodesic equation for massive particles in a perturbed Friedmann-Robertson-Walker metric.

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