Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields.
Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields.
复制标题
宇宙密度和速度场中非线性引力涨落的微扰展开的解析方法。
DOI：
10.1103/physrevd.46.585
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
Yasushi Suto
中科院分区：
文献类型：
--
作者：
N. Makino;Misao Sasaki;Yasushi Suto
宇宙中自引力系统的方程在傅立叶空间中展开为微扰级数。给出了密度场和速度场高阶项的计算公式。我们将这些公式应用于几个解析可积模型，其线性密度功率谱服从单一的幂律，并渐近逼近冷暗物质的预测方案。我们明确地给出了场的非线性引力演化及其对初始谱的依赖性
Equations of self-gravitating systems in the Universe are solved by expanding as perturbation series in Fourier space. The formulas for the higher-order terms are given for density and velocity fields. We apply the formulas to several analytically integrable models whose linear density power spectra obey a single power law, and asymptotically approach the prediction of the cold-dark-matter scenario. We explicitly give the nonlinear gravitational evolution for the fields and its dependence on the initial spectrum