  We present arguments for the existence of both globally regular and black
hole solutions of the Einstein equations with a conformally coupled scalar
field, in the presence of a negative cosmological constant, for space-time
dimensions greater than or equal to four. These configurations approach
asymptotically anti-de Sitter spacetime and are indexed by the central value of
the scalar field. We also study the stability of these solutions, and show
that, at least for all the solutions studied numerically, they are linearly
stable.
