Fourth-order perturbative equations in Lagrangian perturbation theory for a cosmological dust fluid

被引：6

作者：

Tatekawa, Takayuki ^{[1
,2
]}

机构：

[1] Univ Fukui, Ctr Informat Initiat, Fukui 9108507, Japan

[2] Waseda Univ, Res Inst Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2013年 / 2013卷 / 01期

关键词：

LARGE-SCALE STRUCTURE; FRIEDMAN-LEMAITRE COSMOLOGIES; GRAVITATIONAL-INSTABILITY; NONLINEAR APPROXIMATIONS; INITIAL CONDITIONS; UNIVERSE; TRANSIENTS; ACCURACY; COLLAPSE; MODEL;

D O I：

10.1093/ptep/pts053

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have derived fourth-order perturbative equations in Lagrangian perturbation theory for a cosmological dust fluid. These equations are derived under the supposition of Newtonian cosmology in the Friedmann-Lemaitre-Robertson-Walker Universe model. Even if we consider the longitudinal mode in the first-order perturbation, the transverse mode appears in the third-order perturbation. Furthermore, in this case, six longitudinal-mode equations and four transverse-mode equations appear in the fourth-order perturbation. The application of the fourth-order perturbation leads to a precise prediction of the large-scale structure.

引用

页数：20

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