Following the method of Buchbinder and Lyakhovich, we carry out a canonical
formalism for a higher-curvature gravity theory in which the Lagrangian de
nsity L is given in terms of a function of the scalar curvature (R) over ca
p as L. = root-det (g) over cap(mu upsilon)f((R) over cap), where f is a no
nlinear differentiable function of (R) over cap. We comment on the physical
significance of the metric taking the Robertson-Wallcer metric as an examp
le.