On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology

被引:5
|
作者
Lee, Ho [1 ]
Nungesser, Ernesto [2 ,3 ]
Tod, Paul [4 ]
机构
[1] Kyung Hee Univ, Res Inst Basic Sci, Dept Math, Seoul 02447, South Korea
[2] Inst Ciencias Matemat CSIC UAM UC3M UCM, Madrid 28049, Spain
[3] Univ Politecn Madrid, Dept Math, Madrid 28040, Spain
[4] Univ Oxford, Math Inst, Oxford OX2 6GG, England
基金
新加坡国家研究基金会;
关键词
Bianchi spacetimes; Vlasov; Bianchi I; Asymptotic behaviour; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; SINGULARITIES; EQUATIONS; DYNAMICS; MODELS;
D O I
10.1007/s10714-020-02699-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that massless solutions to the Einstein-Vlasov system in a Bianchi I space-time with small anisotropy, i.e. small shear and small trace-free part of the spatial energy momentum tensor, tend to a radiation fluid in an Einstein-de Sitter space-time with the anisotropy Sigma(a)(b)Sigma(b)(a) and (w) over tilde (i)(j)(w) over tilde (j)(i) as O(t(-1/2)).
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页数:13
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