A. Renzini et L. Ciotti, TRANSVERSE DISSECTIONS OF THE FUNDAMENTAL PLANES OF ELLIPTIC GALAXIESAND CLUSTERS OF GALAXIES, The Astrophysical journal, 416(2), 1993, pp. 120000049-120000052
Seen edge-on, the fundamental plane (FP) of elliptical galaxies is ver
y thin and tilted, which corresponds to a very small dispersion (less
than or similar 12%) of the M/L ratio at each location on the FP, and
to a trend by a factor approximately 3 of M/L along the FP, respective
ly. In this Letter we investigate two possible origins of the tilt: a
systematic change of the stellar initial mass function (IMF), and a tr
end in the relative distributions of the bright and dark matter. In bo
th cases we find that major changes in either the IMF or the bright/da
rk matter relative distributions are required along the FP to account
for its tilt, while its constant thickness requires an extremely small
dispersion in the IMF or in the bright/dark matter distribution at ev
ery location on the FP. In both cases fine-tuning seems required to ac
count for the tilt and yet preserve the small, constant thickness of t
he FP. We suggest observations that may distinguish between the two op
tions. Also clusters of galaxies appear to define an equally thin but
untilted FP (i.e., M/L = constant). We discuss some implication of the
existence of such cluster FPs for galaxy formation and cluster evolut
ion.