Quantum cosmology with a curvature squared action - art. no. 064021

The correct quantum description for a curvature squared term in the action can be obtained by casting the action in the canonical form with the introd uction of a variable which is the negative of the first derivative of the f ield variable appearing in the action, only after removing the total deriva tive terms from the action. We present the Wheeler-DeWitt equation and obta in the expression for the probability density and current density from the equation of continuity. Furthermore, in the weak energy limit we obtain the classical Einstein equation. Finally we present a solution of the wave equ ation.