Newtonian Limits of Isolated Cosmological Systems on Long Time Scales

Liu, Chao; Oliynyk, Todd A.

doi:10.1007/s00023-018-0686-2

Newtonian Limits of Isolated Cosmological Systems on Long Time Scales

Jan 14, 2017

87 pages

Published in:

Annales Henri Poincare 19 (2018) 7, 2157-2243

Published: Jun 4, 2018

e-Print:

1701.03975 [gr-qc]

DOI:

10.1007/s00023-018-0686-2

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Abstract: (Springer)

We establish the existence of 1-parameter families of

\epsilon

-dependent solutions to the Einstein–Euler equations with a positive cosmological constant

\Lambda >0

and a linear equation of state

p=\epsilon ^2 K \rho

,

0<K\le 1/3

, for the parameter values

0<\epsilon < \epsilon _0

. These solutions exist globally to the future, converge as

\epsilon \searrow 0

to solutions of the cosmological Poisson–Euler equations of Newtonian gravity, and are inhomogeneous nonlinear perturbations of FLRW fluid solutions.

Note:

58 pages. Agrees with published version. Note the title has been changed. Old title "Cosmological Newtonian limits on long time scales"; New title "Newtonian Limits of Isolated Cosmological Systems on Long Time Scales"

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