Inhomogenous loop quantum cosmology with matter

TL;DR

This paper applies a hybrid quantization approach to an inhomogeneous cosmological model with matter, combining loop and Fock quantizations to study singularity resolution and quantum back-reaction effects.

Contribution

It introduces a novel hybrid quantization method for inhomogeneous cosmologies with matter, enabling analysis of quantum effects on inhomogeneities and background.

Findings

Resolution of cosmological singularity via loop quantization.

Modeling of inhomogeneities in a quantum cosmological setting.

Insights into quantum back-reaction effects between matter and geometry.

Abstract

The linearly polarized Gowdy $T^3$ model with a massless scalar field with the same symmetries as the metric is quantized by applying a hybrid approach. The homogeneous geometry degrees of freedom are loop quantized, fact which leads to the resolution of the cosmological singularity, while a Fock quantization is employed for both matter and gravitational inhomogeneities. Owing to the inclusion of the massless scalar field this system allows us to modelize flat Friedmann-Robertson-Walker cosmologies filled with inhomogeneities propagating in one direction. It provides a perfect scenario to study the quantum back-reaction between the inhomogeneities and the polymeric homogeneous and isotropic background.