The faint and extremely red K-band-selected galaxy population in the DEEP2/Palomar fields

We present in this paper an analysis of the faint and red near-infrared (NIR) selected galaxy population found in NIR imaging from the Palomar Observatory Wide-Field Infrared Survey. This survey covers 1.53 deg(2) to 5 sigma detection limits of K-vega = 20.5-21 and J(vega) = 22.5, and overlaps with the DEEP2 spectroscopic redshift survey. We discuss the details of this NIR survey, including our J- and K-band counts. We show that the K-band galaxy population has a redshift distribution that varies with K magnitude, with most K < 17 galaxies at z < 1.5 and a significant fraction (38.3 +/- 0.3 per cent) of K > 19 systems at z > 1.5. We further investigate the stellar masses and morphological properties of K-selected galaxies, particularly extremely red objects (EROs), as defined by ( R - K) > 5.3 and (I - K) > 4. One of our conclusions is that the ERO selection is a good method for picking out galaxies at z > 1.2, and within our magnitude limits, the most massive galaxies at these redshifts. The ERO limit finds 75 per cent of all M-* > 10(11)M(circle dot) galaxies at z similar to 1.5 down to K-vega = 19.7. We further find that the morphological breakdown of K < 19.7 EROs is dominated by early-types ( 57 +/- 3 per cent) and peculiars ( 34 +/- 3 per cent). However, about a fourth of the early-types are distorted ellipticals, and within CAS ( concentration, asymmetry, clumpiness) parameter space these bridge the early-type and peculiar population, suggesting a morphological evolutionary sequence. We also investigate the use of a (I - K) > 4 selection to locate EROs, finding that it selects galaxies at slightly higher average redshifts (< z > = 1.43 +/- 0.32) than the ( R - K) > 5.3 limit with < z > = 1.28 +/- 0.23. Finally, by using the redshift distribution of K < 20 selected galaxies, and the properties of our EROs, we are able to rule out all monolithic collapse models for the formation of massive galaxies.