密度切变关联中的广义相对论修正
General Relativistic corrections in density-shear correlations
摘要：
我们研究了相对论光锥计算引起的切向剪切与星系数的相关性的修正，也称为星系-星系透镜效应。星系-星系透镜效应的标准方法将前景仓中源的数量密度视为可观测的，而实际上由于相对论修正的存在，它是不可观测的。我们发现，已经在所涵盖的DES第一年的数据的红移范围内，这些目前被忽视的相对论性条款导致高达50%的系统校正的密度剪切关联函数的最高红移箱。这种校正主要是由这样一个事实，即一个红移箱的数量计数不仅透镜源在一个背景箱，但本身再次透镜的所有质量之间的观察者和计数的源人口。相对论修正目前在标准的星系-星系分析中被忽略了，而一个计数的源群的额外透镜效应只包括在误差预算中（通过协方差矩阵）。在越来越高的红移和更大的尺度上，这些相对论和透镜修正变得越来越重要，我们在这里认为，它是更有效的，也更干净，占这些修正的密度剪切相关。
英文摘要：
We investigate the corrections which relativistic light-cone computations induce on the correlation of the tangential shear with galaxy number counts, also known as galaxy-galaxy lensing. The standard-approach to galaxy-galaxy lensing treats the number density of sources in a foreground bin as observable, whereas it is in reality unobservable due to the presence of relativistic corrections. We find that already in the redshift range covered by the DES first year data, these currently neglected relativistic terms lead to a systematic correction of up to 50% in the density-shear correlation function for the highest redshift bins. This correction is dominated by the the fact that a redshift bin of number counts does not only lens sources in a background bin, but is itself again lensed by all masses between the observer and the counted source population. Relativistic corrections are currently ignored in the standard galaxy-galaxy analyses, and the additional lensing of a counted source populations is only included in the error budget (via the covariance matrix). At increasingly higher redshifts and larger scales, these relativistic and lensing corrections become however increasingly more important, and we here argue that it is then more efficient, and also cleaner, to account for these corrections in the density-shear correlations.
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