General relativistic weak-field limit and Newtonian N-body simulations
arXiv:1708.07769 · doi:10.1088/1475-7516/2017/12/022
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.
22 pages, 3 figures; accepted for publication at JCAP