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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.
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U. Brauer and L. Karp, Local existence of classical solutions of the system using weighted sobolev spaces of fractional order , Les Comptes l’Académie des sciences / Série Mathematique 345
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T.A. Oliynyk, Post-Newtonian expansions for perfect fluids , Commun. Math. Phys. 288
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