Formation and evolution of the cosmic large-scale structure
Formation and evolution of the cosmic large-scale structure
复制标题
宇宙大尺度结构的形成与演化
DOI：
10.1142/9789813227958_0002
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
B. Schäfer
中科院分区：
文献类型：
--
作者：
B. Schäfer
如果没有宇宙结构形成的必要背景，就无法理解宇宙中第一个物体的形成。本章讨论了均匀和各向同性的Friedmann-Lemaitre-Robertson-步行者宇宙的膨胀动力学以及小尺度下弱引力区宇宙结构的演化。讨论包括齐次解的结构形成方程的线性政权，它保存的统计性质的初始条件与他们的近高斯给出的通货膨胀，以及过程中的非线性政权的结构形成与伴随产生的非高斯性。欧拉和拉格朗日微扰理论作为描述弱非线性制度中结构形成的数学工具进行了讨论，以及描述相关随机场的统计工具，高斯和弱非高斯统计。最后，介绍了球形引力坍缩形成暗物质晕和预测暗物质晕数密度的Press-Schechter公式，以及暗物质晕与周围宇宙大尺度结构的潮汐相互作用模型。因此，本章提供了探索暗物质晕形成的工具，第一个黑洞就是在暗物质晕中形成的。
The formation of first objects in the Universe cannot be understood without the required context on cosmological structure formation. This chapter discusses the expansions dynamics of homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker universes and the evolution of cosmic structures in the regime of weak gravity on small scales. The discussion includes the homogenous solution of the structure formation equations in the linear regime, which conserves the statistical properties of the initial conditions with their near-Gaussianity given by inflation, as well as processes in the nonlinear regime of structure formation with the accompanying generation of non-Gaussianities. Eulerian and Lagrangian perturbation theory are discussed as mathematical tools for describing structure formation in the weakly nonlinear regime, as well as the statistical tools for describing correlated random fields, both with Gaussian and weakly non-Gaussian statistics. Finally, halo-formation by spherical gravitational collapse and the Press–Schechter formalism for predicting the number density of dark matter haloes is introduced, as well as models for tidal interaction of haloes with the surrounding cosmic large-scale structure. The chapter thereby provides the tools to explore the formation of the dark matter halos in which the first black holes are forming.