The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Loop quantum cosmology and thek=−1Robertson-Walker model
Open accessAbstract
The loop quantization of the negatively curved $k=\ensuremath{-}1$ Robertson-Walker model poses several technical challenges. We show that the issues can be overcome and a successful quantization is possible that extends the results of the $k=0$, $+1$ models in a natural fashion. We discuss the resulting dynamics and show that for a universe consisting of a massless scalar field, a bounce is predicted in the backward evolution in accordance with the results of the $k=0$, $+1$ models. We also show that the model predicts a vacuum repulsion in the high curvature regime that would lead to a bounce even for matter with vanishing energy density. We finally comment on the inverse volume modifications of loop quantum cosmology and show that, as in the $k=0$ model, the modifications depend sensitively on the introduction of a length scale which a priori is independent of the curvature scale or a matter energy scale.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240
Quantum nature of the big bang: Improved dynamics
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.74.084003 · Cited by 1,147 · cited 18×
“Additionally we shall follow the prescription of [6] leading to improved dynamics for LQC.”
BackgroundMethodInfluentialAbsence of a Singularity in Loop Quantum Cosmology
Bojowald, M. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5227 · Cited by 769
Mathematical structure of loop quantum cosmology
Ashtekar, A., Bojowald, M., & Lewandowski, J. (2003) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2003.v7.n2.a2 · Cited by 762
Quantum nature of the big bang: An analytical and numerical investigation
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.73.124038 · Cited by 609
Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
Holst, S. (1996) · Physical Review D · doi:10.1103/physrevd.53.5966 · Cited by 576
Regularization ambiguities in loop quantum gravity
Perez, A. (2006) · Physical Review D · doi:10.1103/physrevd.73.044007 · Cited by 106
Variational principles and spatially-homogeneous universes, including rotation
MacCallum, M. A. H., & Taub, A. H. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01877589 · Cited by 87
Cited by
Loop quantum cosmology: a status report
Ashtekar, A., & Singh, P. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/21/213001 · Cited by 1,205
BOJOWALD, M. (2005) · 100 Years of Relativity · doi:10.1142/9789812700988_0014 · Cited by 542
Loop quantum cosmology of Bianchi type I models
Ashtekar, A., & Wilson-Ewing, E. (2009) · Physical Review D · doi:10.1103/physrevd.79.083535 · Cited by 295
Loop quantum cosmology of Bianchi type IX models
Wilson-Ewing, E. (2010) · Physical Review D · doi:10.1103/physrevd.82.043508 · Cited by 179
Is loop quantization in cosmology unique?
Corichi, A., & Singh, P. (2008) · Physical Review D · doi:10.1103/physrevd.78.024034 · Cited by 134
Metadata
- Authors
- Vandersloot, K.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-26
- Volume
- 75
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W23193668
- Cited by
- 170
- References
- 8
- FWCI
- 14.33
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Loop quantum cosmology and thek=−1Robertson-Walker model. https://app.cochat.ai/papers/10.1103/physrevd.75.023523
- The paper
- Vandersloot, K. (2007). Loop quantum cosmology and thek=−1Robertson-Walker model. Physical Review D. https://doi.org/10.1103/physrevd.75.023523
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
