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Quantum Gowdy model within the new loop quantum cosmology improved dynamics

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Martin- Benito, M. and Garay Elizondo, Luis Javier and Mena Marugán, Guillermo A. (2011) Quantum Gowdy model within the new loop quantum cosmology improved dynamics. Journal of physics: Conference series, 314 . ISSN 1742-6588

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Official URL: http://dx.doi.org/10.1088/1742-6596/314/1/012047




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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© IOP Publishing Ltd.
This work was in part supported by the Spanish MICINN Project No. FIS2008-06078-C03-03 and the Consolider-Ingenio Program CPAN No. CSD2007-00042. M. M-B has been supported by CSIC and the European Social Fund under the grant I3P-BPD2006.
Spanish Relativity Meeting (ERE 2010) on Gravity as a Crossroad in Physics (2010. Granada, España)

Uncontrolled Keywords:Astronomy & Astrophysics; Physics, multidisciplinary; Physics, particles & fields
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:29752
Deposited On:24 Apr 2015 10:26
Last Modified:10 Dec 2018 15:09

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