The Mass/Light Ratio of Early-Type Galaxies: Constraints from Gravitational Lensing in the Rich Cluster AC114

Abstract

We present a new wide field image of the distant cluster AC114 ($z=0.31$) obtained with Wide Field and Planetary Camera II onboard the Hubble Space Telescope. This image considerably extends our knowledge of the lensing properties of the cluster beyond those derived by Smail \et (1995a) from a single WF/PC-1 pointing. In conjunction with published ground-based spectroscopy, we utilise several newly-discovered multiple images to construct an improved mass model for the central regions of the cluster. Using this model, we apply the methodology introduced by Natarajan & Kneib (1997) to interpret local perturbations to the cluster shear field on small scales resulting from mass associated with individual cluster galaxies. We use the lensing signal to place new constraints on the average mass-to-light ratio and spatial extents of the dark matter halos associated with morphologically-classified early-type cluster members. We find that the total mass of a fiducial $L^*$ cluster spheroidal galaxy is largely contained within $\sim$ 15 kpc radius halo ($\sim$~8--10 $R_e$) with a mass-to-light ratio ${M/L_V} \sim {15^{+10}_{-4}} $ (90% c.l., $h=0.5$) in solar units within this radius. Comparisons with similar estimates for fieldgalaxies indicates that the cluster galaxies in AC114 may possess less extensive and less massive halos. We discuss the consequences of our result in the context of models for the dynamical evolution of cluster galaxies and the observational prospects for extending this analysis.