We have investigated the properties of a complete K-band selected sample of
35 elliptical and S0 galaxies brighter than K = 20.15 mag in the Hubble de
ep field, as representative of the field galaxy population. This sample has
been derived from deep K-band image by the KPNO-IRIM camera, by applying a
rigorous morphological classification scheme based on quantitative analyse
s of the surface brightness profiles. The completeness of the sample is pro
ved by a careful evaluation of all biasing effects inherent in the automate
d selection procedure. Fifteen objects have spectroscopic redshifts, while
for the remaining 20 a photometric redshift is estimated from a seven-color
broadband spectrum (including four HST and three near-IR bands). This data
set, based on public archives from HST and from deep observations at Kitt
Peak and Hawaii, is unique for its morphological information and for its ph
otometric and spectroscopic coverage. The broadband spectra of the sample g
alaxies, together with a few basic assumptions about the IMF and the stella
r evolutionary paths, allow us to date their dominant stellar populations.
The majority of bright early-type galaxies in this held are found at redshi
fts z less than or similar to 1.3 to display colors indicative of a fairly
wide range of ages (typically 1.5 to 3 Gyr). Because of the different cosmo
logical timescales, the star formation history depends to some extent on th
e assumed value for the cosmological deceleration parameter: we find that t
he major episodes of star formation (SF) building up typical M-star galaxie
s have taken place during a wide redshift interval 1 < z < 4 for q(0) = 0.5
, which becomes 1 < z < 3 for q(0) = 0.15. There seems to be a tendency for
lower mass (M < 5 x 10(10) M.) systems to have the bulk of their SF protra
cted to lower redshifts. Our estimated galactic masses, for a Salpeter IMF,
are found in the range from a few similar to 10(9) M. to a few 10(11) M. a
lready at z similar or equal to 1. So the bright end of the E/S0 population
is mostly in place by that cosmic epoch, with space densities, masses, and
luminosities consistent with those of the local field E/S0 population. We
argue that the strong decrease of the comoving mass density of early-type g
alaxies found by some authors already by z similar or equal to 1 might be d
ue to improper color classification, since these objects are usually found
to display blue young populations mixed with old red stars. Instead, what d
istinguishes the present sample is a remarkable absence of objects at z > 1
.3, which should be detectable during the luminous star formation phase exp
ected to happen at these redshifts. Obvious solutions are (1) that the merg
ing events triggering the SF imply strongly perturbed morphologies that pre
vent selecting them by our morphological classification filter, or (2) that
a dust-polluted interstellar medium (ISM) obscures the (either continuous
or episodic) events of star formation, after which gas consumption (or a ga
lactic wind) cleans up the galaxy. We conclude that the likely solution is
a combination thereof, i.e., a set of dust-enshrouded merging-driven starbu
rsts occurring during the first few gigayears of the galaxy's lifetime. Whi
le our main conclusions are moderately dependent on the assumed value of q(
0), an open universe is favored in our analysis by the match of the K-band
local luminosity functions with the observed numbers of faint distant galax
ies. Two sources of uncertainty in our analysis, i.e.
, the possible presence of a background cluster or group at z similar to 1
in the HDF (possibly contaminating the z distribution) and the lack of a co
mplete spectroscopic identification, are shown unlikely to affect our main
results. In any case, they will be reduced soon by new observations in the
southern HDF and by deep spectroscopic surveys with large telescopes.