English

Do Newtonian large-scale structure simulations fail to include relativistic effects?

General Relativity and Quantum Cosmology 2015-07-15 v1

Abstract

The Newtonian simulations describing the formation of large-scale structures do not include relativistic effects. A new approach to this problem is proposed, which consists of splitting the Hawking-Hayward quasi-local energy of a closed spacelike 2-surface into a "Newtonian" part due to local perturbations and a "relativistic" part due to the cosmology. It is found that the Newtonian part dominates over the relativistic one as time evolves, lending support to the validity of Newtonian simulations.

Keywords

Cite

@article{arxiv.1503.02326,
  title  = {Do Newtonian large-scale structure simulations fail to include relativistic effects?},
  author = {Valerio Faraoni and Marianne Lapierre-Leonard and Angus Prain},
  journal= {arXiv preprint arXiv:1503.02326},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T08:47:04.777Z