Dynamics of a lattice Universe

Details Dynamics of a lattice Universe Dynamics of a lattice Universe

2012-04-16

arxiv.org/abs/1204.3433v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. No figure

Scientific paper

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-Lema\^itre-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.

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