One-dimensional model of cosmological perturbations: direct integration in the Fourier space
Cosmology and Nongalactic Astrophysics
2012-12-27 v1
Abstract
We propose a method of calculation of the power spectrum of cosmological perturbations by means of a direct numerical integration of hydrodynamic equations in the Fourier space for a random ensemble of initial conditions with subsequent averaging procedure. This method can be an alternative to the cosmological N-body simulations. We test realizability of this method in case of one-dimensional motion of gravitating matter pressureless shells. In order to test the numerical simulations, we found an analytical solution which describes one-dimensional collapse of plane shells. The results are used to study a nonlinear interaction of different Fourier modes.
Keywords
Cite
@article{arxiv.1212.5887,
title = {One-dimensional model of cosmological perturbations: direct integration in the Fourier space},
author = {V. M. Sliusar and V. I. Zhdanov},
journal= {arXiv preprint arXiv:1212.5887},
year = {2012}
}
Comments
12 pages, 3 figures