A rigorous formulation of the cosmological Newtonian limit without averaging

Abstract

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.

References in corpus (2)

• Post-Newtonian expansions for perfect fluids
• Cosmological post-Newtonian expansions to arbitrary order

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• Future stability of the FLRW spacetime for a large class of perfect fluids
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• Recent developments in mathematical aspects of relativistic fluids
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