The history of the cosmic supernova rate derived from the evolution of the host galaxies
Ne make a prediction of the cosmic supernova rate history as a composite of the supernova rates in spiral and elliptical galaxies. Ne include the metallicity effect on the evolution of Type Ia supernova (SN Ia) progenitors and construct detailed models for the evolutions of spiral and elliptical galaxies in clusters and the held to meet the latest observational constraints. In the cluster environment, the synthesized cosmic star formation rate (SFR) has an excess at x greater than or similar to 3 corresponding to the early starburst in ellipticals and a shallower slope from the present to the peak at the redshift of z similar to 1.4 compared with Madau's plot. In the held environment, we assume that ellipticals form over a wide range of redshifts as 1 less than or similar to z less than or similar to 4. The synthesized cosmic SFR has a broad peak around, z similar to 3, which is in good agreement with the observed one. The resultant cosmic SFRs lead to the following predictions for the cosmic SN Ia rate: (1) the SN Ia rate in spirals has a break at z similar to 2 because of the low-metallicity inhibition of SNe Ia, regardless of whether the galaxies are in clusters or in the field; (2) at high redshifts, the SN Ia rate has a strong peak around z similar to 3 in clusters, whereas in the field much lower rate is expected, reflecting the difference in the formation epochs of ellipticals.