2024-04-25T10:19:29Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/445272023-08-26T15:22:35Zcom_20.500.14352_14col_20.500.14352_15
Garay Elizondo, Luis Javier
Martin Benito, M.
Mena Marugán, Guillermo A.
2023-06-20T03:50:08Z
2023-06-20T03:50:08Z
2010-08-30
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[23] Here, we call physical area that measured by the area operator defined on the kinematical Hilbert space, to distinguish it from the fiducial area.
[24] There is a discrepancy in signs between this representation and that of Ref. [12] because, in the latter, is considered to change sign under internal parity transformations, namely, ¼ j jsgnðvÞ, while we treat just as a positive free parameter, which therefore is unaffected by transformations of the dynamical variables.
[25] We understand the nondensitized Hamiltonian constraint as referring to the scalar constraint with the same densitization as in LQG.
[26] This difference is due to the factor 1=ð16 GÞ accompanying the classical action, which is not included in the definition of the constraint in this paper.
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[30] Nonetheless, we note that dffiffiffiffi V p ðF^ i F^ jÞ dffiffiffiffi V p is still a constant of motion. We thank T. Pawlowski for pointing out this fact.
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1550-7998
10.1103/PhysRevD.82.044048
https://hdl.handle.net/20.500.14352/44527
http://dx.doi.org/10.1103/PhysRevD.82.044048
http://journals.aps.org
The Gowdy cosmologies provide a suitable arena to further develop loop quantum cosmology, allowing the presence of inhomogeneities. For the particular case of Gowdy spacetimes with the spatial topology of a three-torus and a content of linearly polarized gravitational waves, we detail a hybrid quantum theory in which we combine a loop quantization of the degrees of freedom that parametrize the subfamily of homogeneous solutions, which represent Bianchi I spacetimes, and a Fock quantization of the inhomogeneities. Two different theories are constructed and compared, corresponding to two different schemes for the quantization of the Bianchi I model within the improved dynamics formalism of loop quantum cosmology. One of these schemes has been recently put forward by Ashtekar and Wilson-Ewing. We address several issues, including the quantum resolution of the cosmological singularity, the structure of the superselection sectors in the quantum system, or the construction of the Hilbert space of physical states.
eng
open access
Inhomogeneous loop quantum cosmology: hybrid quantization of the Gowdy model
journal article