  Spherically symmetric solutions in Brans-Dicke theory of relativity with zero
coupling constant, $\omega=0$, are derived in the Schwarzschild line-element.
The solutions are obtained from a cubic transition equation with one small
parameter. The exterior space-time of one family of solutions is arbitrarily
close to the exterior Schwarzschild space-time. These nontopological solitons
have some similarity with soliton stars, and are proposed as candidates for
{\em approximate black holes} for the use in numerical relativity, in
particular for treatment of horizon boundary conditions.
