A Rigorous Formulation of the Cosmological Newtonian Limit Without Averaging

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.