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The cosmological principle and honeycombs

C Criado1 and N Alamo2

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We present the possibility that the gravitational growth of primordial density fluctuations leads to what can be considered a weak version of the cosmological principle. The large-scale mass distribution associated with this principle must have the geometrical structure known as a regular honeycomb. We give the most important parameters that characterize the honeycombs associated with the closed, open, and flat Friedmann–Lemaître–Robertson–Walker 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 Ω0 and ΩΛ0.


PACS

98.65.Dx Superclusters; large-scale structure of the Universe (including voids, pancakes, great wall, etc.)

04.20.-q Classical general relativity

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

83Cxx General relativity

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 9 (7 May 2004)

Received 4 December 2003

Published 2 April 2004



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