Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations

Details Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations

2008-04-07

arxiv.org/abs/0804.1098v2

Phys.Rev.D78:083516,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages; version accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.78.083516

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.

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