Matter in inhomogeneous loop quantum cosmology: The Gowdy T3 model

Abstract

We apply a hybrid approach which combines loop and Fock quantizations to fully quantize the linearly polarized Gowdy T3 model in the presence of a massless scalar field with the same symmetries as the metric. Like in the absence of matter content, the application of loop techniques leads to a quantum resolution of the classical cosmological singularity. Most importantly, thanks to the inclusion of matter, the homogeneous sector of the model contains flat Friedmann-Robertson-Walker solutions, which are not allowed in vacuo. Therefore, this model provides a simple setting to study at the quantum level interesting physical phenomena such as the effect of the anisotropies and inhomogeneities on flat Friedmann-Robertson-Walker cosmologies. © 2011 American Physical Society.