Cosmological principle and honeycombs

Details Cosmological principle and honeycombs Cosmological principle and honeycombs

2003-10-20

arxiv.org/abs/astro-ph/0310552v3

Class.Quant.Grav.21:2241-2253,2004

Astronomy and Astrophysics

Astrophysics

16 pages, 3 figures. Minor revisions to reflect version published in Class.Quant.Grav

Scientific paper

10.1088/0264-9381/21/9/002

We present the possibility that the gravitational growth of primordial density fluctuations leads to what can be considered a week version of the cosmological principle. The large scale mass distribution associated with this principle must have the geometrical structures known as a regular honeycombs. We give the most important parameters that characterize the honeycombs associated with the closed, open, and flat FLRW models. These parameters can be used to determine by means of observations which is the appropriate honeycomb. For each of these honeycombs, and for a nearly flat universe, we have calculated the probability that a randomly placed observer could detect the honeycomb as a function of the density parameters.

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