Near-infrared (2.2 mu m) observations of a sample of 48 elliptical galaxies
in the Coma cluster have been carried out and used to study the near-infra
red Fundamental Plane (FP) of ellipticals in this cluster. An rms scatter o
f 0.072 dex is found for this relation, similar to that of its optical coun
terpart, using the same sample of galaxies. This corresponds to an uncertai
nty of 18 per cent in distances to individual galaxies derived from this re
lation. The sensitivity of the near-infrared FP to the star formation or ch
anges in metallicity and stellar population among the ellipticals is explor
ed and found to be small, although a likely source of scatter in this relat
ion is contributions from the asymptotic giant branch (AGB) population to t
he near-infrared light. Allowing for observational uncertainties, we find a
n intrinsic scatter of 0.060 dex in the near-infrared FP. The cluster galax
ies presented here provide the zero-point for the peculiar velocity studies
, using the near-infrared FP.
Changes in the slopes of the D-sigma and L-sigma relations of ellipticals b
etween the optical and near-infrared wavelengths are investigated and found
to be due to variations in metallicity or age (or a combination of them).
However, it is not possible to disentangle the effects of age and metallici
ty in these relations.
We find M/L proportional to M-alpha with alpha = 0.18 +/- 10.01 in the near
-infrared and alpha = 0.23 +/- 0.01 at optical wavelengths, using the same
sample of galaxies. This relation is interpreted as being due to a mass-met
allicity effect or changes in age or the initial mass function slope with m
ass. Using evolutionary population synthesis models, we find that the effec
ts of age and metallicity decouple in the (M/L)(K) versus Mg-2 and (M/L)(K)
versus (V - K) diagrams. The models suggest that the observed trends in th
ese relations may be due to an age sequence, while metallicity mainly contr
ibutes to the scatter.