General relativistic weak-field limit and Newtonian N-body simulations

Christian Fidler, Thomas Tram, Cornelius Rampf, Robert Crittenden, Kazuya Koyama, David Wands

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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.
Original languageEnglish
Article number022
JournalJournal of Cosmology and Astroparticle Physics
Volume12
DOIs
Publication statusPublished - 11 Dec 2017

Keywords

  • astro-ph.CO
  • RCUK
  • STFC
  • ST/N000668/1

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