Evolution of the luminosity density in the universe: Implications for the nonzero cosmological constant

We show that evolution of the luminosity density of galaxies in the universe provides a powerful test for the geometry of the universe. Using reasonable galaxy evolution models of population synthesis that reproduce the colors of local galaxies of various morphological types, we have calculated the luminosity density of galaxies as a function of redshift z. Comparison of the result with recent measurements by the Canada-France Redshift Survey in three wave bands of 2800 Angstrom, 4400 Angstrom and 1 mu m at z < 1 indicates that the Lambda-dominated flat universe with lambda(0) similar to 0.8 is favored, and the lower limit on lambda(0) yields 0.37 (99% C.L.) or 0.53 (95% C.L.) if Omega(0) + lambda(0) = 1. The Einstein-de Sitter universe with (Omega(0), lambda(0)) = (1, 0) and the low-density open universe with (0.2, 0) are, however, ruled out with 99.86% C.L. and 98.6% C.L., respectively. The confidence levels quoted apply unless the standard assumptions on galaxy evolution are drastically violated. We have also calculated a global star formation rate in the universe to be compared with the observed rate beyond z similar to 2. We find from this comparison that spiral galaxies are formed from material accreted over an extended period of a few Gyr, while elliptical galaxies are formed from an initial starburst at z greater than or similar to 5 that supplies enough metals and ionizing photons in the intergalactic medium.