Canonical formulation of scalar curvature squared action in higher   dimensions
  Canonical formulation for an action containing scalar curvature squared term $(R^2)$ in arbitrary dimension has been performed in maximally symmetric space-time. The quantum dynamics does not alter significantly from the same in $4$-dimension. Classical solution is also at par with the one presented by Starobinsky. WKB approximation peaks around the classical solution. 
Subhra Debnath, Soumendranath Ruz and Abhik Kumar Sanyal
hep-th