  We consider a modified Brans-Dicke theory in which except the usual
Brans-Dicke parameter a new dimensionful parameter appears which modifies the
kinetic term of the scalar field coupled to gravity. Solving the coupled
Einstein-Klein-Gordon equations we find new spherically symmetric solutions.
Depending on the choices of the parameters these solutions reduce to the
Schwarzschild solution of General Relativity and they give new wormhole
solutions which depend on the new parameter.
