The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Nonsingular bouncing universes in loop quantum cosmology
Open accessAbstract
Nonperturbative quantum geometric effects in loop quantum cosmology (LQC) predict a ${\ensuremath{\rho}}^{2}$ modification to the Friedmann equation at high energies. The quadratic term is negative definite and can lead to generic bounces when the matter energy density becomes equal to a critical value of the order of the Planck density. The nonsingular bounce is achieved for arbitrary matter without violation of positive energy conditions. By performing a qualitative analysis we explore the nature of the bounce for inflationary and cyclic model potentials. For the former we show that inflationary trajectories are attractors of the dynamics after the bounce implying that inflation can be harmoniously embedded in LQC. For the latter difficulties associated with singularities in cyclic models can be overcome. We show that nonsingular cyclic models can be constructed with a small variation in the original cyclic model potential by making it slightly positive in the regime where scalar field is negative.
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Citations
Cites
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240
Quantum geometry and black hole entropy
Ashtekar, A., Baez, J., Corichi, A., & Krasnov, K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.904 · Cited by 1,105
Cosmic evolution in a cyclic universe
Steinhardt, P. J., & Turok, N. (2002) · Physical Review D · doi:10.1103/physrevd.65.126003 · Cited by 813
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
Black-hole entropy in loop quantum gravity
Meissner, K. A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/22/015 · Cited by 720
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
Self-citationQuantum geometry of isolated horizons and black hole entropy
Ashtekar, A., Baez, J. C., & Krasnov, K. (2000) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2000.v4.n1.a1 · Cited by 580
Black-hole entropy from quantum geometry
Domagala, M., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/22/014 · Cited by 424
Regularization ambiguities in loop quantum gravity
Perez, A. (2006) · Physical Review D · doi:10.1103/physrevd.73.044007 · Cited by 106
Cited by
Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 2,734
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-citationQuantum 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-citationBOJOWALD, M. (2005) · 100 Years of Relativity · doi:10.1142/9789812700988_0014 · Cited by 542
Metadata
- Authors
- Singh, P., Vandersloot, K., & Vereshchagin, G. V.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2006-08-10
- Volume
- 74
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2083719113
- Cited by
- 208
- References
- 10
- FWCI
- 10.90
- Type
- journal article
- Language
- en
- Open access
- green
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