Lagrangian theory of gravitational instability of Friedman-Lemaître cosmologies: a generic third-order model for non-linear clustering
Lagrangian theory of gravitational instability of Friedman-Lemaître cosmologies: a generic third-order model for non-linear clustering
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弗里德曼-勒梅特宇宙论引力不稳定性的拉格朗日理论：非线性聚类的通用三阶模型
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发表时间：
1993
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通讯作者：
T. Buchert
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作者：
T. Buchert
弗里德曼-勒梅特宇宙学的拉格朗日微扰理论在早期论文中被研究和求解到二阶，现在被评估到三阶。在此基础上，建立了适用于一般初始条件下宇宙大尺度结构建模的非线性成簇模型。提出了一个截断模型，它代表了在早期的非线性政权的扰动序列的主体，通过忽略所有的引力源，描述扰动的相互作用。然而，我也给出了由相互作用项产生的三阶无旋解，这些解在拉格朗日空间中引起涡量。这些解决方案的后果和适用性得到了充分的考虑
The Lagrangian perturbation theory of Friedman-Lemaitre cosmologies, which was investigated and solved up to the second order in earlier papers, is evaluated up to the third order. Based on this, a model for non-linear clustering applicable to the modelling of large-scale structure in the Universe for generic initial conditions is formulated. A truncated model is proposed which represents the main body of the perturbation sequence in the early non-linear regime by neglecting all gravitational sources that describe interaction of the perturbations. I also, however, give the irrotational solutions generated by the interaction terms to the third order, which induce vorticity in Lagrangian space. The consequences and applicability of the solutions are put into perspective