Cosmological Newtonian limit
arXiv:1307.6281 · doi:10.1103/PhysRevD.89.124002
Abstract
We describe a wide class of inhomogeneous relativistic solutions that are well approximated on cosmological scales by solutions of Newtonian gravity. Error estimates measuring the difference between the Newtonian and relativistic solutions are given. The solutions presented here unambiguously demonstrate that it is possible for Newtonian gravity to provide a good approximation to General Relativity on cosmological scales.
Changed title and fixed typos to agree with published version
References in corpus (8)
- Backreaction in late-time cosmology
- Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
- A new framework for analyzing the effects of small scale inhomogeneities in cosmology
- Newtonian and Relativistic Cosmologies
- Applicability of the linearly perturbed FRW metric and Newtonian cosmology
- The Newtonian limit for perfect fluids
- Newtonian limit of fully nonlinear cosmological perturbations in Einstein's gravity
- Post-Newtonian expansions for perfect fluids