通过在谐波空间对单一星系群进行多示踪探测局域与积分相对论效应
Detecting Local and Integrated Relativistic Effects by Multi-Tracing a Single Galaxy Population in Harmonic Space
AI总结：
本研究针对大尺度星系成团性中相对论效应受宇宙方差干扰难以探测的问题，通过星等划分星系子样本结合谐波空间多示踪技术，验证了主导多普勒效应的可探测性，并量化了次主导相对论效应的统计显著性变化规律。
摘要：
在宇宙学尺度上测量相对论效应，将进一步证实在弱引力这一尚未得到充分检验的条件下广义相对论的有效性。尽管这类效应十分重要，但大尺度上星系分布中的相对论印记至今仍未被探测到，主要原因是它们在最大的宇宙尺度上信号更强，而这些尺度受宇宙方差的严重干扰。本研究在既往工作的基础上开展拓展，通过将一个星系群划分为亮、暗两个子样本研究星系成团性，重点关注其在谐波空间中的两点相关函数，也就是通过角功率谱开展分析。借助这种按星等划分样本的方式，并利用多示踪技术，我们得以提升相对论贡献的影响权重。我们首先聚焦于多普勒效应带来的主导性相对论贡献，证明通过精心设计的光度截断，该效应可被探测到。随后我们研究了广义相对论预言的次主导效应，量化了目前尚无法探测的这些效应的统计显著性随红移分箱与巡天参数的变化规律。作为案例研究，我们在预测中考虑了低红移亮星系样本、中红移Hα发射线星系巡天以及高红移莱曼断裂星系三类对象。
英文摘要：
Measuring relativistic effects on cosmological scales would provide further confirmation of the validity of general relativity in the still poorly tested condition of weak gravity. Despite their relevance, relativistic imprints in the distribution of galaxies on large scales have so far eluded detection, mainly because they are stronger on the largest cosmic scales, which are plagued by cosmic variance. Expanding on previous works, we study galaxy clustering by subdividing a galaxy population into two sub-samples -- bright and faint -- and we here focus on their two-point correlation function in harmonic space, i.e. via the angular power spectrum. Thanks to such a split in magnitude and by exploiting the multi-tracer technique, we are able to boost the impact of the relativistic contributions. We first focus on the leading relativistic contribution given by the Doppler effect and show that, with a carefully tailored luminosity cut, it can be detected. Then, we look at the sub-dominant effects predicted by general relativity and quantify how their statistical significance, as yet undetectable, varies with redshift binning and survey specifications. As case studies, we consider in our forecasts a bright galaxy sample at low redshift, an H$α$ emission-line galaxy survey at intermediate redshifts, and high-redshift Lyman-break galaxies at high redshift.
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