Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
arXiv:1005.5654 · doi:10.1103/PhysRevD.82.044048
Abstract
The Gowdy cosmologies provide a suitable arena to further develop Loop Quantum Cosmology, allowing the presence of inhomogeneities. For the particular case of Gowdy spacetimes with the spatial topology of a three-torus and a content of linearly polarized gravitational waves, we detail a hybrid quantum theory in which we combine a loop quantization of the degrees of freedom that parametrize the subfamily of homogeneous solutions, which represent Bianchi I spacetimes, and a Fock quantization of the inhomogeneities. Two different theories are constructed and compared, corresponding to two different schemes for the quantization of the Bianchi I model within the {\sl improved dynamics} formalism of Loop Quantum Cosmology. One of these schemes has been recently put forward by Ashtekar and Wilson-Ewing. We address several issues including the quantum resolution of the cosmological singularity, the structure of the superselection sectors in the quantum system, or the construction of the Hilbert space of physical states.
16 pages, version accepted for publication in Physical Review D
References in corpus (13)
- Quantum Nature of the Big Bang: Improved dynamics
- Loop quantum cosmology of k=1 FRW models
- Loop quantum cosmology and the k = - 1 RW model
- Closed FRW model in Loop Quantum Cosmology
- Anti-deSitter universe dynamics in LQC
- Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
- 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
- Hybrid Quantum Cosmology: Combining Loop and Fock Quantizations
- Quantum Gowdy model: A uniqueness result
- Uniqueness of the Fock quantization of the Gowdy model
- Quantum Gowdy model: A unitary description