  In this communication, we analyze the case of 3+1 dimensional scalar field
cosmologies in the presence, as well as in the absence of spatial curvature, in
isotropic, as well as in anisotropic settings. Our results extend those of
Hawkins and Lidsey [Phys. Rev. D {\bf 66}, 023523 (2002)], by including the
non-flat case. The Ermakov-Pinney methodology is developed in a general form,
allowing through the converse results presented herein to use it as a tool for
constructing new solutions to the original equations. As an example of this
type a special blowup solution recently obtained in Christodoulakis {\it et
al.} [gr-qc/0302120] is retrieved. Additional solutions of the 3+1 dimensional
gravity coupled with the scalar field are also obtained. To illustrate the
generality of the approach, we extend it to the anisotropic case of Bianchi
types I and V and present some related open problems.
