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General Relativity and Quantum Cosmology

arXiv:0801.0502 (gr-qc)
[Submitted on 3 Jan 2008 (v1), last revised 23 Feb 2008 (this version, v2)]

Title:Exact solutions for Big Bounce in loop quantum cosmology

Authors:Jakub Mielczarek, Tomasz Stachowiak, Marek Szydlowski
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Abstract: In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cosmological constant Lambda. We find analytical solutions for this model in different configurations and investigate its dynamical behaviour in the whole phase space. We show the explicit influence of Lambda on the qualitative and quantitative character of solutions. Even in the case of positive Lambda the oscillating solutions without the initial and final singularity appear as a generic case for some quantisation schemes.
Comments: 12 pages, 12 figures, added references and changed introduction and summary
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0801.0502 [gr-qc]
  (or arXiv:0801.0502v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0801.0502
Journal reference: Phys.Rev.D77:123506,2008
Related DOI: https://doi.org/10.1103/PhysRevD.77.123506

Submission history

From: Tomasz Stachowiak [view email]
[v1] Thu, 3 Jan 2008 21:13:30 UTC (120 KB)
[v2] Sat, 23 Feb 2008 22:08:31 UTC (122 KB)
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