The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Homogeneous loop quantum cosmology
Open accessAbstract
Loop quantum cosmological methods are extended to homogeneous models in a diagonalized form. It is shown that the diagonalization leads to a simplification of the volume operator such that its spectrum can be determined explicitly. This allows the calculation of composite operators, most importantly the Hamiltonian constraint. As an application the dynamics of the Bianchi I model is studied and it is shown that its loop quantization is free of singularities.
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Citations
Cites
New Hamiltonian formulation of general relativity
Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119
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
Real Ashtekar variables for Lorentzian signature space-times
Barbero G., J. F. (1995) · Physical Review D · doi:10.1103/physrevd.51.5507 · Cited by 758
Symmetry reduction for quantized diffeomorphism-invariant theories of connections
Bojowald, M., & Kastrup, H. A. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/15/311 · Cited by 168
Loop quantum cosmology: II. Volume operators
Bojowald, M. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/6/313 · Cited by 85
Cited by
Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951
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
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
BOJOWALD, M. (2005) · 100 Years of Relativity · doi:10.1142/9789812700988_0014 · Cited by 542
Self-citationBojowald, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-11 · Cited by 723
Self-citation
Metadata
- Authors
- Bojowald, M.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2003-05-27
- Volume
- 20
- Issue
- 13
- Pages
- 2595-2615
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2010106678
- Cited by
- 173
- References
- 6
- FWCI
- 13.60
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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