The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Robustness of key features of loop quantum cosmology
Open accessAbstract
A small simplification based on well-motivated approximations is shown to make loop quantum cosmology of the $k=0$ Friedman-Robertson-Walker model (with a massless scalar field) exactly soluble. Analytical methods are then used i) to show that the quantum bounce is generic; ii) to establish that the matter density has an absolute upper bound which, furthermore, equals the critical density that first emerged in numerical simulations and effective equations; iii) to bring out the precise sense in which the Wheeler-DeWitt theory approximates loop quantum cosmology and the sense in which this approximation fails; and iv) to show that discreteness underlying loop quantum cosmology is fundamental. Finally, the model is compared to analogous discussions in the literature and it is pointed out that some of their expectations do not survive a more careful examination. An effort has been made to make the underlying structure transparent also to those who are not familiar with details of loop quantum gravity.
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Citations
Cites
Modern Canonical Quantum General Relativity
Thiemann, T. (2007) · doi:10.1017/cbo9780511755682 · Cited by 2,001
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
Self-citationAbsence 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
Self-citationQuantum 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
Self-citationRepresentations of the holonomy algebras of gravity and nonAbelian gauge theories
Ashtekar, A., & Isham, C. J. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/6/004 · Cited by 310
Self-citationUniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
Lewandowski, J., Okołów, A., Sahlmann, H., & Thiemann, T. (2006) · Communications in Mathematical Physics · doi:10.1007/s00220-006-0100-7 · Cited by 297
Representations of the Weyl Algebra in Quantum Geometry
Fleischhack, C. (2009) · Communications in Mathematical Physics · doi:10.1007/s00220-008-0593-3 · Cited by 183
Quantum Bounce and Cosmic Recall
Corichi, A., & Singh, P. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.161302 · Cited by 107
Self-citationWhat happened before the big bang?
Bojowald, M. (2007) · Nature Physics · doi:10.1038/nphys654 · Cited by 104
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
Self-citationLoop 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
Self-citationQuantum Bounce and Cosmic Recall
Corichi, A., & Singh, P. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.161302 · Cited by 107
Self-citationSingularity resolution in loop quantum cosmology: A brief overview
Ashtekar, A. (2009) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/189/1/012003 · Cited by 77
Self-citation
Metadata
- Authors
- Ashtekar, A., Corichi, A., & Singh, P.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-29
- Volume
- 77
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1975600559
- Cited by
- 460
- References
- 10
- FWCI
- 24.62
- Type
- journal article
- Language
- en
- Open access
- green
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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.
