A critical-density closed Universe in Brans-Dicke theory
Abstract
In a Brans-Dicke (BD) cosmological model, the energy density associated with some scalar field decreases as a-2(ωo+ 12%ωo+1) with the scale factor a(t) of the Universe, giving a matter with an Equation of state p=-1/3(2+ωo1+ωo) . In this model, the Universe could be closed but still have a nonrelativistic-matter density corresponding to its critical value, o=1. Different cosmological expressions, such as, luminosity distance, angular diameter, number count and ratio of the redshift tickness-angular size, are determined in terms of the redshift for this model.
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