Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry

被引：15
|
作者：
Lee, Ho [1 ,2 ]
Nungesser, Ernesto [3 ,4 ]
机构：
[1] Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
[2] Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South Korea
[3] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland
[4] CSIC, Inst Ciencias Matemat, Madrid 28049, Spain
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 262卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
EQUATION; STABILITY;
D O I：
10.1016/j.jde.2017.02.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the Einstein Boltzmann system with Bianchi I symmetry. We show that for small initial data the corresponding solutions of the Einstein Boltzmann system are future geodesically complete and that they isotropize and have a dust-like behaviour at late times. Detailed information about the metric and the matter terms is obtained, and the results show that the solutions tend asymptotically to the Einstein de Sitter solution. (C) 2017 Elsevier Inc. All rights reserved.
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页码：5425 / 5467
页数：43
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