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Baryon-to-dark matter ratio from random angular fields

Published 22 January 2013 Published under licence by IOP Publishing Ltd
, , Citation John McDonald JCAP01(2013)025 DOI 10.1088/1475-7516/2013/01/025

1475-7516/2013/01/025

Abstract

We consider the baryon-to-dark matter ratio in models where the dark matter and baryon densities depend on angular fields θd and θb according to ρd∝θdα and ρb∝θbβ, with all values of θd and θb being equally probable in a given randomly-selected domain. Under the assumption that anthropic selection depends primarily on the baryon density in galaxies at spherical collapse, we show that the probability density function for the baryon-to-dark matter ratio r = ΩBDM is purely statistical in nature and is independent of anthropic selection. We compute the probability density function for r as a function of α and β and show that the observed value of the baryon-to-dark matter ratio, r ≈ 1/5, is natural in this framework.

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10.1088/1475-7516/2013/01/025