  For field equations of 4th order, following from a Lagrangian `Ricci scalar
plus Weyl scalar', it is shown (using methods of non-standard analysis) that in
a neighbourhood of Minkowski space there do not exist regular static
spherically symmetric solutions. With that (besides the known local expansions
about r = 0 and r = infinity resp.) for the first time a global statement on
the existence of such solutions is given. Finally, this result will be
discussed in connection with Einstein's particle programme.
