  We explore aspects of Cosmological Nucleosynthesis in an FRW universe in
which the scale factor evolves linearly with time: $a(t) \sim t$. A high Lepton
number density during the period when significant nucleosynthesis takes place
would lead to a dominant screening of the Coulomb potential of colliding
nucleii. This would lead to a significant enhancement of nucleosynthesis rates.
We demonstrate how adequate amount of $^4He$ and a collataral metallicity,
close to the lowest metallicity observed in metal poor Pop II stars and clouds,
can be produced with such an evolution.
