Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations

Abstract

We quantize an inhomogeneous cosmological model using techniques that include polymeric quantization. More explicitly, we construct well defined operators to represent the constraints and find the physical Hilbert space formed by their solutions, which reproduces the conventional Fock quantization for the inhomogeneities. The initial singularity is resolved in this inhomogeneous model in an extremely simple way and without imposing special boundary conditions, thus ensuring the robustness and generality of this resolution. Furthermore this quantization constitutes a well founded step towards the extraction of physical results and consequences from loop quantum cosmology, given the central role of the inhomogeneities in modern cosmology.

5 pages; version accepted for publication in Physical Review D

References in corpus (6)

• Quantum Nature of the Big Bang: Improved dynamics
• Loop Quantization of Vacuum Bianchi I Cosmology
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
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Cited by in corpus (10)

• Loop Quantum Cosmology: An Overview
• Anti-deSitter universe dynamics in LQC
• Physical evolution in Loop Quantum Cosmology: The example of vacuum Bianchi I
• Singularity Resolution in Loop Quantum Cosmology: A Brief Overview
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Hybrid Quantum Cosmology: Combining Loop and Fock Quantizations
• Loop Quantum Cosmology of Diagonal Bianchi Type I model: simplifications and scaling problems
• Physical time and other conceptual issues of QG on the example of LQC
• Polymer quantization, singularity resolution and the 1/r^2 potential
• Fermions in Loop Quantum Cosmology and the Role of Parity