Second-order cosmological perturbation theory and initial conditions for $N$-body simulations
General Relativity and Quantum Cosmology
2016-03-02 v2 Cosmology and Nongalactic Astrophysics
Abstract
We use gauge-invariant cosmological perturbation theory to calculate the displacement field that sets the initial conditions for -body simulations. Using first and second-order fully relativistic perturbation theory in the synchronous-comoving gauge, allows us to go beyond the Newtonian predictions and to calculate relativistic corrections to it. We use an Einstein--de Sitter model, including both growing and decaying modes in our solutions. The impact of our results should be assessed through the implementation of the featured displacement in cosmological -body simulations.
Keywords
Cite
@article{arxiv.1511.02220,
title = {Second-order cosmological perturbation theory and initial conditions for $N$-body simulations},
author = {Adam J. Christopherson and Juan Carlos Hidalgo and Cornelius Rampf and Karim A. Malik},
journal= {arXiv preprint arXiv:1511.02220},
year = {2016}
}
Comments
V2: Second order density added and other expressions simplified. References updated. 15 pages