Dynamics of a lattice Universe: the dust approximation in cosmology

Bruneton, J-P. and Larena, J (2012) Dynamics of a lattice Universe: the dust approximation in cosmology. Classical and quantum gravity, 29 (15). ISSN 1361-6382 (In Press)



Official URL: http://eprintweb.org/S/article/gr-qc/1204.3433


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.

Item Type:Article
Additional Information:Accepted version for Classical and Quantum Gravity
Uncontrolled Keywords:gravitation and cosmology; astrophysics and astroparticles
Subjects:Q Science > QB Astronomy
Q Science > QC Physics
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
ID Code:3174
Deposited By: Mrs Eileen Shepherd
Deposited On:13 Aug 2012 13:27
Last Modified:13 Aug 2012 13:34
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