  The static spherically symmetric ``black hole solution" of the Einstein -
conformally invariant massless scalar field equations known as the BBMB (
Bocharova, , Bronikov, Melinkov, Bekenstein) black hole is critically examined.
It is shown that the stress energy tensor is ill-defined at the horizon, and
that its evaluation through suitable regularization yields ambiguous
  results. Consequently, the configuration fails to represent a genuine black
hole solution. With the removal of this solution as a counterexample to the no
hair conjecture, we argue that the following appears to be true: Spherical
black holes cannot carry any kind of classical scalar hair.
