Abstract
ABSTRACT We show that the star-formation history, the reionization history and the present luminosity function of galaxies are reproduced in a simple gravitational collapse model within the ΛCDM regime to an almost quantitative accuracy when the physical conditions, the Jeans criterion and the cooling process are taken into account. Taking a reasonable set of model parameters, the reionization takes place sharply at about redshift 1 + z ≃ 7.5, and the resulting luminosity function turns off at $L\simeq 10^{10.7}\, {\rm L}_\odot$, showing the consistency between the star-formation history and the reionization of the Universe. The model gives the total amount of stars Ωstar = 0.004 in units of the critical density, compared with the observational value of 0.0044 with a recycling factor of 1.6. In order to account for the observed star-formation rate and the present luminosity function, the star-formation efficiency is not halo-mass-independent but has a maximum at the halo mass $\simeq 10^{12}\, {\rm M}_\odot$ and is suppressed for both lower- and higher-mass haloes.
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