General relativistic weak-field limit and Newtonian N-body simulations
Cosmology and Nongalactic Astrophysics
2017-12-12 v2 General Relativity and Quantum Cosmology
Abstract
We show how standard Newtonian N-body simulations can be interpreted in terms of the weak-field limit of general relativity by employing the recently developed Newtonian motion gauge. Our framework allows the inclusion of radiation perturbations and the non-linear evolution of matter. We show how to construct the weak-field metric by combining Newtonian simulations with results from Einstein-Boltzmann codes. We discuss observational effects on weak lensing and ray tracing, identifying important relativistic corrections.
Keywords
Cite
@article{arxiv.1708.07769,
title = {General relativistic weak-field limit and Newtonian N-body simulations},
author = {Christian Fidler and Thomas Tram and Cornelius Rampf and Robert Crittenden and Kazuya Koyama and David Wands},
journal= {arXiv preprint arXiv:1708.07769},
year = {2017}
}
Comments
22 pages, 3 figures; accepted for publication at JCAP