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Cited by 90Noncommutative and Quantum Gravity TheoriesCosmology and Gravitation TheoriesRelativity and Gravitational Theory

Quantum-reduced loop gravity: Cosmology

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Alesci, Emanuele, Cianfrani, Francesco·2013·Physical Review D
DOI 10.1103/physrevd.87.083521
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Abstract

We introduce a new framework for loop quantum gravity: mimicking the spin foam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of quantum-reduced loop gravity we study the inhomogeneous extension of the Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between loop quantum cosmology and the full theory.

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Crossref · 10.1103/physrevd.87.083521

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73 of 73 references verified0 citation errors · 0 not checkable

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  • The main difference between GFT condensate cosmology and the canonical LQG approach is the focus on a quantum counterpart of the classical symmetry reduction to homogeneity, rather than on the coarse graining to homogeneous observables capturing the collective features of microscopic configurations which are not individually homogeneous in any strict sense.

    “The main difference is the focus on a quantum counterpart of the classical symmetry reduction to homogeneity, rather than on the coarse graining to homogeneous observables capturing the collective features of microscopic configurations which are not individually homogeneous in any strict sense.”

    From The universe as a quantum gravity condensate (2017) · cites this paper as [6]

  • A number of similarities can be found at the technical level between the class of states used in [6] and GFT condensates.

    “This being said, a number of similarities can be found also at the technical level between the class of states used in [6] and GFT condensates, which encourage to have a closer look at the detailed relation between these two approaches to the same problem.”

    From The universe as a quantum gravity condensate (2017) · cites this paper as [6]

  • A similar operator-based approach to extracting cosmology can be pursued within GFT condensate cosmology.

    “The aim is similar, and in fact, a similar operator-based approach can be pursued also within GFT condensate cosmology.”

    From The universe as a quantum gravity condensate (2017) · cites this paper as [6]

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Authors
Alesci, E., & Cianfrani, F.
Affiliations
Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2013-04-22
Volume
87
Issue
8
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.87.083521
OpenAlex
W1985051368
Cited by
90
References
74
Citations by year
2026: 2 · 2025: 2 · 2024: 5 · 2023: 7 · 2022: 3 · 2021: 5 · 2020: 11 · 2019: 4 · 2018: 12 · 2017: 7 · 2016: 10 · 2015: 6 · 2014: 9 · 2013: 7
FWCI
7.59
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • SDL (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
loop quantum gravity, loop quantum cosmology, Bianchi I model, inhomogeneous cosmology, kinematical Hilbert space, canonical quantization, quantum cosmology

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