Based on the mathematical similarity between the Friedmann open metric and
Godel's metric in the case of nearby distances, we investigate a new scenar
io for the universe's evolution, where the present Friedmann universe origi
nates from a primordial Godel universe by a phase transition during which t
he cosmological constant vanishes. Using Hubble's constant and the present
matter density as input, we show that the radius and density of the primord
ial Godel universe are close, in order of magnitude, to the present values,
and that the time of expansion coincides with the age of the universe in t
he standard Friedmann model. In addition, the conservation of angular momen
tum provides, in this context, a possible origin for the rotation of galaxi
es, leading To a relation between the masses and spins corroborated by obse
rvational data.