Applicability of the linearly perturbed FRW metric and Newtonian cosmology

2010/02/28 by Syksy Rasanen, Syksy Räsänen
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Solar and Space Plasma Dynamics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.81.103512

published as Phys.Rev.D81:103512,2010 · 24 pages. v2: Published version. Added clarifications and a reference

arxiv created 2010/05/10 · openalex publication_date 2010/05/10 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It has been argued that the effect of cosmological structure formation on the average expansion rate is negligible, because the linear approximation to the metric remains applicable in the regime of nonlinear density perturbations. We discuss why the arguments based on the linear theory are not valid. We emphasize the difference between Newtonian gravity and the weak field, small velocity limit of general relativity in the cosmological setting.

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