  A contribution linear in r to the gravitational potential can be created by a
suitable conformal duality transformation: the conformal factor is 1/(1+r)^2
and r will be replaced by r/(1+r), where r is the Schwarzschild radial
coordinate. Thus, every spherically symmetric solution of conformal Weyl
gravity is conformally related to an Einstein space. This result finally
resolves a long controversy about this topic.
  As a byproduct, we present an example of a spherically symmetric Einstein
space which is a limit of a sequence of Schwarzschild-de Sitter space-times but
which fails to be expressable in Schwarzschild coordinates. This example also
resolves a long controversy.
