拉格朗日空间重映射与宇宙结构的角动量重建
Lagrangian space remapping and the angular momentum reconstruction from cosmic structures
AI总结：
本研究利用数值模拟与先进重建技术，验证了大质量暗物质晕可精确重映射至拉格朗日空间，明确了角动量重建误差的主要来源，为改进原初扰动重建提供了新思路。
摘要：
大尺度结构提供了关于原初扰动的宝贵信息，这些扰动蕴含着宇宙起源的奥秘。在可观测天体与其初始坐标（即拉格朗日空间）之间建立映射是一项关键步骤，原初扰动的信息正是通过线性理论从拉格朗日空间传递到结构中的。我们利用数值模拟和最先进的重建技术，报告了估算星系及星系团（以不同质量范围的暗物质晕为代表）拉格朗日坐标的精度，并研究了这种重映射在角动量（自旋）重建中的准确性。我们的研究表明，以质量≳10¹³M⊙的暗物质晕为代表的星系群和星系团，可以被精确地重映射到拉格朗日空间，且它们的自旋重建误差主要由重建的初始引力势主导。在所有质量范围内，拉格朗日重映射误差以及红移空间畸变，在估算其角动量时都处于次要地位。这项研究解释了观测到的星系自旋与重建的宇宙初始条件之间相关性较低的原因，并阐明了利用宇宙结构的角动量来改进原初扰动重建的潜力。
英文摘要：
Large scale structures provide valuable information of the primordial perturbations that encode the secrets of the origin of the Universe. It is an essential step to map between observables and their initial coordinates, called Lagrangian space, from which primordial perturbations transfer their information to structures via linear theory. By using numerical simulations and state-of-the-art reconstruction techniques, we report the accuracy of estimating the Lagrangian coordinates of galaxies and galaxy clusters, represented by dark matter halos in various ranges of mass, and study the accuracy of this remapping on the angular momentum (spin) reconstruction. Our work shows that galaxy groups and clusters, represented by halos with mass $\gtrsim 10^{13}M_\odot$, can be accurately remapped to Lagrangian space, and their spin reconstruction errors are dominated by the reconstructed initial gravitational potential. For all mass ranges, the errors of Lagrangian remapping, as well as redshift space distortions, play subdominant roles in estimating their angular momenta. This study explains the low correlation level between observed galaxy spins and reconstructed cosmic initial conditions and illustrates the potential of using angular momenta of cosmic structures to improve the reconstruction of primordial perturbations.
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