A Rigorous formulation of the cosmological Newtonian limit without averaging
Aug, 200927 pages
Published in:
- J.Hyperbol.Diff.Equat. 7 (2010) 03, 405-431
- Published: 2010
e-Print:
- 0908.4454 [gr-qc]
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Abstract: (WSP)
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.- Cosmological Newtonian limit
- Einstein–Euler equations
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