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In a previous paper (Serna & Alimi 1996), we have pointed out the existenceof some particular scalar-tensor gravity theories able to relax thenucleosynthesis constraint on the cosmic baryonic density. In this paper, wepresent an exhaustive study of primordial nucleosynthesis in the framework ofsuch theories taking into account the currently adopted observationalconstraints. We show that a wide class of them allows for a baryonic densityvery close to that needed for the universe closure. This class of theoriesconverges soon enough towards General Relativity and, hence, is compatible withall solar-system and binary pulsar gravitational tests. In other words, we showthat primordial nucleosynthesis does not always impose a very stringent boundon the baryon contribution to the density parameter.Comment: uuencoded tar-file containing 16 pages, latex with 5 figures,  accepted for publication in Astrophysical Journal (Part 1

Upper Limit to ΩBin Scalar‐Tensor Gravity Theories

Upper Limit to Ω_Bin Scalar‐Tensor Gravity Theories