RT Journal Article
T1 Quantum Gowdy model within the new loop quantum cosmology improved dynamics
A1 Martin- Benito, M.
A1 Garay Elizondo, Luis Javier
A1 Mena Marugán, Guillermo A.
AB 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.
PB IOP Publishing Ltd
SN 1742-6588
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/44524
UL https://hdl.handle.net/20.500.14352/44524
LA eng
NO © 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)
NO Spanish MICINN
NO Consolider-Ingenio Program CPAN
NO CSIC and the European Social Fund
DS Docta Complutense
RD 28 abr 2025