A rigorous formulation of the cosmological Newtonian limit without averaging

Details A rigorous formulation of the cosmological Newtonian limit without averaging A rigorous formulation of the cosmological Newtonian limit without averaging

2009-08-31

arxiv.org/abs/0908.4454v2

J.Hyperbol.Diff.Equat.7:405-431,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1142/S0219891610002189

We prove the existence of a large class of one-parameter families of cosmological solutions to the Einstein-Euler equations that have a Newtonian limit. This class includes solutions that represent a finite, but otherwise arbitrary, number of compact fluid bodies. These solutions provide exact cosmological models that admit Newtonian limits but, are not, either implicitly or explicitly, averaged.

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