Newtonian Limits of Isolated Cosmological Systems on Long Time Scales

被引：19
作者：
Liu, Chao [1 ]
Oliynyk, Todd A. [1 ]
机构：
[1] Monash Univ, Sch Math Sci, 9 Rainforest Walk, Clayton, Vic 3800, Australia
来源：
ANNALES HENRI POINCARE | 2018年 / 19卷 / 07期
基金：
澳大利亚研究理事会;
关键词：
PARTIAL-DIFFERENTIAL-EQUATIONS; RELATIVISTIC PERFECT FLUIDS; FUTURE STABILITY; GENERAL-RELATIVITY; HYPERBOLIC SYSTEMS; EINSTEIN SYSTEM; NONLINEAR STABILITY; LARGE PARAMETER; FIELD-THEORY; EXISTENCE;
D O I：
10.1007/s00023-018-0686-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We establish the existence of 1-parameter families of -dependent solutions to the Einstein-Euler equations with a positive cosmological constant and a linear equation of state , , for the parameter values . These solutions exist globally to the future, converge as to solutions of the cosmological Poisson-Euler equations of Newtonian gravity, and are inhomogeneous nonlinear perturbations of FLRW fluid solutions.
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页码：2157 / 2243
页数：87
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