Anomaly-free cosmological perturbations in effective canonical quantum   gravity
  This article lays out a complete framework for an effective theory of cosmological perturbations with corrections from canonical quantum gravity. Since several examples exist for quantum-gravity effects that change the structure of space-time, the classical perturbative treatment must be rethought carefully. The present discussion provides a unified picture of several previous works, together with new treatments of higher-order perturbations and the specification of initial states. 
Aurelien Barrau, Martin Bojowald, Gianluca Calcagni, Julien Grain,   Mikhail Kagan
gr-qc astro-ph.CO hep-th