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  Quantum Gowdy model within the new loop quantum cosmology improved dynamics

Martin-Benito, M., Garay, L. J., & Mena Marugan, G. A. (2011). Quantum Gowdy model within the new loop quantum cosmology improved dynamics. Journal of Physics: Conference Series, 314: 012047.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-110D-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-110E-B
Genre: Conference Paper

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1012.3713 (Preprint), 99KB
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 Creators:
Martin-Benito, M.1, Author              
Garay, L. J., Author
Mena Marugan, G. A. , Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: The linearly polarized Gowdy $T^3$ model can be regarded as compact Bianchi I cosmologies with inhomogeneous modes allowed to travel in one direction. We study a hybrid quantization of this model that combines the loop quantization of the Bianchi I background, adopting the improved dynamics scheme put forward by Ashtekar and Wilson-Ewing, with a Fock quantization for the inhomogeneities. The Hamiltonian constraint operator provides a resolution of the cosmological singularity and superselects separable sectors. We analyze the complicated structure of these sectors. In any of them the Hamiltonian constraint provides an evolution equation with respect to the volume of the associated Bianchi I universe, with a well posed initial value problem. This fact allows us to construct the Hilbert space of physical states and to show that we recover the standard quantum field theory for the inhomogeneities.

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 Dates: 2010-12-162011
 Publication Status: Published in print
 Pages: 4 pages, jpconf.cls, to appear in Proceedings of Spanish Relativity Meeting 2010 (ERE 2010) held in Granada, Spain
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1012.3713
DOI: 10.1088/1742-6596/314/1/012047
 Degree: -

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Title: Spanish Relativity Meeting (ERE 2010) on Gravity as a Crossroad in Physics
Place of Event: Granada, SPAIN
Start-/End Date: 2010-09-06 - 2010-09-10

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Title: Journal of Physics: Conference Series
Source Genre: Journal
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Publ. Info: Bristol : IOP Publ.
Pages: - Volume / Issue: 314 Sequence Number: 012047 Start / End Page: - Identifier: ISSN: 1742-6588
CoNE: /journals/resource/111097776606042