- Title
- Dynamics of a lattice Universe : the dust approximation in cosmology
- Creator
- Bruneton, J-P
- Creator
- Larena, Julien
- Date Issued
- 2012
- Date
- 2012
- Type
- Article
- Identifier
- vital:6789
- Identifier
- http://hdl.handle.net/10962/d1006941
- Description
- 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–Lemaître–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.
- Format
- 15 pages
- Format
- Language
- English
- Relation
- Bruneton, J-P. and Larena, J (2012) Dynamics of a lattice Universe: the dust approximation in cosmology. Classical and quantum gravity, 29 155001 Available at: http://dx.doi.org/10.1088/0264-9381/29/15/155001
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