2026-06-27T01:08:50Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/445242023-08-25T22:15:13Zcom_20.500.14352_14col_20.500.14352_15

Martin- Benito, M. Garay Elizondo, Luis Javier Mena Marugán, Guillermo A. 2023-06-20T03:50:02Z 2023-06-20T03:50:02Z 2011 1742-6588 10.1088/1742-6596/314/1/012047 https://hdl.handle.net/20.500.14352/44524 http://dx.doi.org/10.1088/1742-6596/314/1/012047 http://iopscience.iop.org/ http://arxiv.org/pdf/1012.3713v1.pdf 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. eng open access Quantum Gowdy model within the new loop quantum cosmology improved dynamics journal article