The Epochs of Early-Type Galaxy Formation in Clusters and in the Field

We compute new population synthesis models of Lick absorption line indices with variable alpha/Fe ratios and use them to derive average ages, metallicities, and alpha/Fe element enhancements for a sample of 126 field and cluster early-type galaxies. Calibrating the models on galactic globular clusters, we show that any population synthesis model being based on stellar libraries of the Milky Way is intrinsically biased towards super-solar alpha/Fe ratios at metallicities below solar. We correct for this bias, so that the models presented here reflect constant alpha/Fe ratios at all metallicities. The use of such unbiased models is essential for studies of stellar systems with sub-solar metallicities like (extragalactic) globular clusters or dwarf galaxies. For the galaxy sample investigated here, we find a clear correlation between alpha/Fe and velocity dispersion. Zero-point, slope, and scatter of this correlation turn out to be independent of the environment. Additionally, the alpha/Fe ratios and mean ages of elliptical galaxies are well correlated, i.e. galaxies with high alpha/Fe ratios have also high average ages. This strongly reinforces the view that the alpha/Fe element enhancement in ellipticals is produced by short star formation timescales rather than by a flattening of the initial mass function. The more massive the galaxy, the shorter is its star formation timescale, and the higher is the redshift of the bulk of star formation, independent of the environmental density. We show that this finding is incompatible with the predictions from hierarchical galaxy formation models, in which star formation is tightly linked to the assembly history of dark matter halos.