Exact Analytic Solution for Non-Linear Density Fluctuation in a LCDM Universe
General Relativity and Quantum Cosmology
2016-07-14 v2 Cosmology and Nongalactic Astrophysics
Abstract
We derive the exact third-order analytic solution of the matter density fluctuation in the proper-time hypersurface in a CDM 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.
Cite
@article{arxiv.1602.06300,
title = {Exact Analytic Solution for Non-Linear Density Fluctuation in a LCDM Universe},
author = {Jaiyul Yoo and Jinn-Ouk Gong},
journal= {arXiv preprint arXiv:1602.06300},
year = {2016}
}
Comments
20 pages, no figures, published in JCAP