Dynamics of a lattice Universe: the dust approximation in cosmology

被引：35

作者：

Bruneton, Jean-Philippe ^{[1
]}

Larena, Julien ^{[2
]}

机构：

[1] Univ Namur, Namur Ctr Complex Syst naXys, Namur, Belgium

[2] Rhodes Univ, Dept Math, ZA-6140 Grahamstown, South Africa

来源：

CLASSICAL AND QUANTUM GRAVITY | 2012年 / 29卷 / 15期

关键词：

D O I：

10.1088/0264-9381/29/15/155001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We find a solution to Einstein field equations for a regular toroidal lattice of size L with equal masses M at the centre of each cell; this solution is exact at order M/L. Such a solution is convenient to study the dynamics of an assembly of galaxy-like objects. We find that the solution is expanding (or contracting) in exactly the same way as the solution of a Friedman-Lemaitre-Robertson-Walker Universe with dust having the same average density as our model. This points towards the absence of backreaction in a Universe filled with an infinite number of objects, and this validates the fluid approximation, as far as dynamics is concerned, and at the level of approximation considered in this work.

引用

页数：12

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