  The relativistic Friedmann Lemaitre cosmology model (FLCM) is very sucessful
to describe the evolution history of the Universe from the " First three
Minutes". Any alternative model should be consistent with the FLCM explanations
to the later stage evolutions of the Universe at certain points. An noncompact
extra dimension model was recently proposed by Randall and Sundrum. Binetruy et
al. obtained the modified Friedmann equation, in which the energy density of
the brane appears quadratically in contrast with the linear behavior of the
standard Friedmann equation. We investigate kinds of classical cosmological
effects of the new models and get a general solution of the cosmic evolution
for this extended model, with more detail discussions of the brane tension
parameter on these cosmological tests.
