  We investigate the stability of a family of spherically symmetric static
solutions in vacuum Brans-Dicke theory (with $\omega=0$) recently described by
van Putten. Using linear perturbation theory, we find one exponentially growing
mode for every member of the family of solutions, and thus conclude that the
solutions are not stable. Using a previously constructed code for spherically
symmetric Brans-Dicke, additional evidence for instability is provided by
directly evolving the static solutions with perturbations. The full non-linear
evolutions also suggest that the solutions are black-hole-threshold critical
solutions.
