  Inhomogeneous cosmological perturbation equations are derived in loop quantum
gravity, taking into account corrections in particular in gravitational parts.
This provides a framework for calculating the evolution of modes in structure
formation scenarios related to inflationary or bouncing models. Applications
here are corrections to the Newton potential and to the evolution of large
scale modes which imply non-conservation of curvature perturbations possibly
noticeable in a running spectral index. These effects are sensitive to
quantization procedures and test the characteristic behavior of correction
terms derived from quantum gravity.
