The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Loop quantum cosmology: an overview
Open accessAbstract
A brief overview of loop quantum cosmology of homogeneous isotropic models is presented with emphasis on the origin of and subtleties associated with the resolution of big bang and big crunch singularities. These results bear out the remarkable intuition that John Wheeler had. Discussion is organized at two levels. The the main text provides a bird’s eye view of the subject that should be accessible to non-experts. Appendices address conceptual and technical issues that are often raised by experts in loop quantum gravity and string theory.
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Citations
Cites
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240
Modern Canonical Quantum General Relativity
Thiemann, T. (2007) · doi:10.1017/cbo9780511755682 · Cited by 2,001
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · cited 1×
“As a result, geometric observables display a fundamental discreteness [8, 9, 10, 11].”
BackgroundQuantum 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 10×
“However it was soon realized that these difficulties go away if, in the construction of F̂ab k the area enclosed by is computed using the physical metric qab rather than the fiducial metric qab [23].”
BackgroundMethodResultInfluentialSelf-citationQuantum theory of geometry: I. Area operators
Ashtekar, A., & Lewandowski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/1a/006 · Cited by 852
Self-citationA covariant entropy conjecture
Bousso, R. (1999) · Journal of High Energy Physics · doi:10.1088/1126-6708/1999/07/004 · Cited by 850
Absence 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-citation
Cited by
f(T) teleparallel gravity and cosmology
Cai, Y.-F., Capozziello, S., De Laurentis, M., & Saridakis, E. N. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/10/106901 · Cited by 1,491
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 I models
Ashtekar, A., & Wilson-Ewing, E. (2009) · Physical Review D · doi:10.1103/physrevd.79.083535 · Cited by 295
Self-citationA short review of loop quantum gravity
Ashtekar, A., & Bianchi, E. (2021) · Reports on Progress in Physics · doi:10.1088/1361-6633/abed91 · Cited by 294
Self-citationCosmological and solar system consequences off(R,T)gravity models
Shabani, H., & Farhoudi, M. (2014) · Physical Review D · doi:10.1103/physrevd.90.044031 · Cited by 275
Metadata
- Authors
- Ashtekar, A.
- Venue
- General Relativity and Gravitation
- Published
- 2009-02-06
- Volume
- 41
- Issue
- 4
- Pages
- 707-741
- ISSN
- 0001-7701 (ISSN-L)
- 1572-9532
- OpenAlex
- W1999546831
- Cited by
- 189
- References
- 19
- FWCI
- 15.52
- Type
- journal article
- Language
- en
- Open access
- green
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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.
