论文标题
相对论的星系数在弱场近似中计数
The relativistic galaxy number counts in the weak field approximation
论文作者
论文摘要
我们提出了一种新颖的方法，以系统地计算弱场近似中扰动理论中任何顺序的相对论投影效应。在此派生中，星系数计数完全根据红移扰动编写。相对论效应沿视路线打破了对称性，与标准扰动理论，物质功率谱的奇数多物或2点相关函数相反，它们在大规模结构调查中为其检测提供了独特的签名。我们表明，我们的方法与相对论效应的先前推导（最高三阶）相符，并且首次为横向多普勒效应提供了模型。此外，我们表明，在牛顿限制中，这种方法与任何顺序的标准扰动理论一致。
We present a novel approach to compute systematically the relativistic projection effects at any order in perturbation theory within the weak field approximation. In this derivation the galaxy number counts is written completely in terms of the redshift perturbation. The relativistic effects break the symmetry along the line-of-sight and they source, contrarily to the standard perturbation theory, the odd multipoles of the matter power spectrum or 2-point correlation function, providing a unique signature for their detection in Large Scale Structure surveys. We show that our approach agrees with previous derivations (up to third order) of relativistic effects and, for the first time, we derive a model for the transverse Doppler effect. Moreover, we show that in the Newtonian limit this approach is consistent with standard perturbation theory at any order.
