Observables for a Friedmann-Robertson-Walker model with a cosmological constant in the framework of loop cosmology

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.043529· OSTI ID:21420934

Mielczarek, Jakub; Piechocki, Wlodzimierz ^[1]

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1. 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
ENERGY DENSITY
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATTER
PERIODICITY
PHASE SPACE
SCALAR FIELDS
SIMULATION
SPACE
VARIATIONS