  If the cores of Galaxies and AGNs comprise Supermassive Stars (SMSs) (Hoyle
and Fowler 1963), nuclear energy generation may not be ignited for masses $M >
6\times 10^4 M_\odot$, and highly supermassive stars are likely to generate
their luminosity, $L_{KH}$ slow gravitational contraction. We show that for
such massive Newtonian SMSs, both the value of $L_{KH}$ and the the accretion
luminosity, $L_{acc}$, could be much less than the appropriate Eddington value.
Such highly SMSs will have a surface density as low as $10^{-14}$ g/cm$^3$ and
they will not behave like a compact object with a ``hard surface'. For all such
reasons, it is indeed possible to have $L_{SMS} \ll L_{ed}$. And this effect
may be incorrectly interpreted as the evidence for the existence of central
Super Massive Black Holes with Event Horizons.
  In fact, in a very detailed work, and from various angles, we have recently
shown that, the General Theory of Relativity does not permit the occurrenes of
``trapped surfaces'' and Black Holes (Mitra 1998a, gr-qc/9810038).
