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Title:
Exact solutions for a big bounce in loop quantum cosmology
Authors:
Mielczarek, Jakub; Stachowiak, Tomasz; Szydłowski, Marek
Affiliation:
AA(Astronomical Observatory, Jagiellonian University, 30-244 Kraków, Orla 171, Poland and The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen, Denmark), AA(Astronomical Observatory, Jagiellonian University, 30-244 Kraków, Orla 171, Poland), AA(Department of Theoretical Physics, Catholic University of Lublin, Al. Racławickie 14, 20-950 Lublin, Poland and Marc Kac Complex Systems Research Centre, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland)
Publication:
Physical Review D, vol. 77, Issue 12, id. 123506 (PhRvD Homepage)
Publication Date:
06/2008
Origin:
APS
PACS Keywords:
Quantum cosmology
DOI:
10.1103/PhysRevD.77.123506
Bibliographic Code:
2008PhRvD..77l3506M

Abstract

In this paper we study the flat (k=0) cosmological Friedmann-Robertson-Walker model with holonomy corrections of loop quantum gravity. The considered universe contains a massless scalar field and the cosmological constant Λ. We find analytical solutions for this model in different configurations and investigate its dynamical behavior in the whole phase space. Such an approach might be significant e.g. as a phenomenological reference for a further, fully quantum treatment. We show the explicit influence of Λ on the qualitative and quantitative character of solutions. Even in the case of positive Λ the oscillating solutions without the initial and final singularity appear as a generic case for some quantization schemes.
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