Red galaxy overdensities and the varied cluster environments of powerful radio sources with z~1.6

The environments of a complete subsample of 6 of the most powerful radio-loud AGN at redshifts z~1.6 are investigated, using deep RJK imaging to depths of R~26, J~22.4 and K~20.6. An excess of galaxy counts in the K-band is seen across these fields; these are predominantly associated with red galaxies (R-K>4) of magnitudes 17.5<K<20.5 found within radial distances of ~1 Mpc of the AGN host. These are exactly (though not uniquely) the magnitudes, colours and locations that would be expected of old passive elliptical galaxies in cluster environments at the redshifts of these AGN. Using both an Abell-style classification scheme and investigations of the angular and spatial cross-correlation functions of the galaxies, the average environment of the fields around these AGN is found to be consistent with Abell cluster richness classes 0 to 1. The amplitude of the angular cross-correlation function around the AGN is a strong function of galaxy colour, and is highest when only those galaxies with the colours expected of old elliptical galaxies at these redshifts are considered. The galaxy overdensities are found on two scales around the AGN: (i) pronounced central concentrations on radial scales within 150 kpc; where present, these are composed almost entirely of red (R-K>4) galaxies, suggesting that the morphology-density relation is imprinted into the centres of clusters at a high redshift. (ii) weaker large-scale excesses extending out to between 1 and 1.5 Mpc radius. The presence or absence of galaxy excesses on these two scales, however, differs greatly between the six different fields. The implications of these results for both cluster formation and the nature of high redshift AGN are discussed (abridged).