Observables for a Friedmann-Robertson-Walker model with a cosmological constant in the framework of loop cosmology
- Astronomical Observatory, Jagiellonian University, 30-244 Krakow, Orla 171 (Poland)
We consider a flat cosmological model with a free massless scalar field and the cosmological constant {Lambda} in the framework of loop quantum cosmology. The scalar field plays the role of an intrinsic time. We apply the reduced phase space approach. The dynamics of the model is solved analytically. We identify elementary observables and their algebra. The compound physical observables like the volume and the energy density of matter field are analyzed. Both compound observables are bounded and oscillate in the {Lambda}<0 case. The energy density is bounded and oscillates in the {Lambda}>0 case. However, the volume is unbounded from above, but periodic. The difference between standard and nonstandard loop quantum cosmology is described.
- OSTI ID:
- 21420934
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.043529; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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