Holonomy Corrections in the Effective Equations for Scalar Mode Perturbations in Loop Quantum Cosmology
Résumé
We study the dynamics of the scalar modes of linear perturbations around a flat, homogeneous and isotropic background in loop quantum cosmology. The equations of motion include quantum geometry effects and therefore hold at all curvature scales so long as the wavelengths of the modes of interest remain larger than the Planck length. These equations are obtained by including holonomy corrections in an effective Hamiltonian constraint and then using the standard variational principle. The holonomy corrections do not introduce any anomalies in the nontrivial constraint algebra. We also make some comments regarding potential inverse triad corrections.