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Cited by 295

The DOI matches its Crossref record; 59 of the 59 references it cites were found in a registry or an index.

Loop quantum cosmology of Bianchi type I models

Open access
Ashtekar, Abhay, Wilson-Ewing, Edward·2009·Physical Review D
DOI 10.1103/physrevd.79.083535
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Abstract

The ``improved dynamics'' of loop quantum cosmology is extended to include anisotropies of the Bianchi type I model. As in the isotropic case, a massless scalar field serves as a relational time parameter. However, the extension is nontrivial because one has to face several conceptual subtleties as well as technical difficulties. These include a better understanding of the relation between loop quantum gravity and loop quantum cosmology, handling novel features associated with the nonlocal field strength operator in presence of anisotropies, and finding dynamical variables that make the action of the Hamiltonian constraint manageable. Our analysis provides a conceptually complete description that overcomes limitations of earlier works. We again find that the big-bang singularity is resolved by quantum geometry effects but, because of the presence of Weyl curvature, Planck scale physics is now much richer than in the isotropic case. Since the Bianchi I models play a key role in the Belinskii, Khalatnikov, Lifshitz conjecture on the nature of generic spacelike singularities in general relativity, the quantum dynamics of Bianchi I cosmologies is likely to provide considerable intuition about the fate of generic spacelike singularities in quantum gravity. Finally, we show that the quantum dynamics of Bianchi I cosmologies projects down exactly to that of the Friedmann model. This opens a new avenue to relate more complicated models to simpler ones, thereby providing a new tool to relate the quantum dynamics of loop quantum gravity to that of loop quantum cosmology.

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Metadata

Authors
Ashtekar, A., & Wilson-Ewing, E.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2009-04-29
Volume
79
Issue
8
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.79.083535
OpenAlex
W2145511126
Cited by
295
References
59
FWCI
17.37
Type
journal article
Language
en
Open access
green

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