Inhomogenous loop quantum cosmology with matter

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.

4 pages, Contribution to the proceedings of the Loops 11-Madrid conference

References in corpus (6)

• Quantum Nature of the Big Bang: Improved dynamics
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• Hybrid Quantum Cosmology: Combining Loop and Fock Quantizations
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model