Hybrid Quantum Cosmology: Combining Loop and Fock Quantizations

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

2009-07-22

arxiv.org/abs/0907.3797v1

Int.J.Mod.Phys.A24:2820-2838,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, published in International Journal of Modern Physics A, Special Issue: Proceedings of the Second Workshop on Quantum

Scientific paper

10.1142/S0217751X09046187

As a necessary step towards the extraction of realistic results from Loop Quantum Cosmology, we analyze the physical consequences of including inhomogeneities. We consider in detail the quantization of a gravitational model in vacuo which possesses local degrees of freedom, namely, the linearly polarized Gowdy cosmologies with the spatial topology of a three-torus. We carry out a hybrid quantization which combines loop and Fock techniques. We discuss the main aspects and results of this hybrid quantization, which include the resolution of the cosmological singularity, the polymeric quantization of the internal time, a rigorous definition of the quantum constraints and the construction of their solutions, the Hilbert structure of the physical states, and the recovery of a conventional Fock quantization for the inhomogeneities.

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