2026-06-27T22:42:37Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/445242023-08-25T22:15:13Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Martin- Benito, M.
author
Garay Elizondo, Luis Javier
author
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
Quantum Gowdy model within the new loop quantum cosmology improved dynamics
journal article
URL
https://docta.ucm.es/bitstreams/28306f62-d065-43dc-9825-be07e42c61ed/download
File
MD5
82a27090fe8d8dab4bd817dcdf16ea7c
411715
application/pdf
Garay10.pdf
URL
https://docta.ucm.es/bitstreams/b31bbde5-de1f-4a6f-9a9c-6ff64875599d/download
File
MD5
97fc0d3dc989bf57247cb6ff97f5bbd6
17558
text/plain
Garay10.pdf.txt