Exact analytic solution for non-linear density fluctuation in a ACDM universe

被引：11

作者：

Yoo, Jaiyul ^{[1
,2
]}

Gong, Jinn-Ouk ^{[3
,4
]}

机构：

[1] Univ Zurich, Inst Computat Sci, Ctr Theoret Astrophys & Cosmol, Winterthurerstr 190, Zurich, Switzerland

[2] Univ Zurich, Inst Phys, Winterthurerstr 190, Zurich, Switzerland

[3] Asia Pacific Ctr Theoret Phys, 67 Cheongam Ro, Pohang 37673, South Korea

[4] Postech, Dept Phys, 77 Cheongam Ro, Pohang 37673, South Korea

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2016年 / 07期

基金：

欧洲研究理事会; 新加坡国家研究基金会; 瑞士国家科学基金会;

关键词：

cosmological perturbation theory; galaxy clustering; power spectrum; COSMOLOGICAL PERTURBATION; ANGULAR VARIATIONS; REPUBLICATION; MODEL;

D O I：

10.1088/1475-7516/2016/07/017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the exact third-order analytic solution of the matter density fluctuation in the proper-time hypersurface in a ACDM universe, accounting for the explicit time dependence and clarifying the relation to the initial condition. Furthermore, we compare our analytic solution to the previous calculation in the comoving gauge, and to the standard Newtonian perturbation theory by providing Fourier kernels for the relativistic effects. Our results provide an essential ingredient for a complete description of galaxy bias in the relativistic context.

引用

页数：25

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