TY - JOUR
T1 - A rigorous formulation of the cosmological Newtonian limit without averaging
AU - Oliynyk, Todd
PY - 2010
Y1 - 2010
N2 - We prove the existence of a large class of one-parameter families of cosmological solutions to the Einsteina??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.
AB - We prove the existence of a large class of one-parameter families of cosmological solutions to the Einsteina??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.
UR - http://www.worldscinet.com/jhde/07/0703/S0219891610002189.html
U2 - 10.1142/S0219891610002189
DO - 10.1142/S0219891610002189
M3 - Article
SN - 0219-8916
VL - 7
SP - 405
EP - 431
JO - Journal of Hyperbolic Differential Equations
JF - Journal of Hyperbolic Differential Equations
IS - 3
ER -