Fourth-order perturbative equations in Lagrangian perturbation theory for a cosmological dust fluid
Cosmology and Nongalactic Astrophysics
2016-06-21 v1
Abstract
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-Lema\^{i}tre-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.
Keywords
Cite
@article{arxiv.1210.8306,
title = {Fourth-order perturbative equations in Lagrangian perturbation theory for a cosmological dust fluid},
author = {Takayuki Tatekawa},
journal= {arXiv preprint arXiv:1210.8306},
year = {2016}
}
Comments
22 pages, 1 figure; accepted for publication in Prog. Theor. Exp. Phys