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.
