Exact solutions for Big Bounce in loop quantum cosmology

Details Exact solutions for Big Bounce in loop quantum cosmology Exact solutions for Big Bounce in loop quantum cosmology

2008-01-03

arxiv.org/abs/0801.0502v2

Phys.Rev.D77:123506,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 12 figures, added references and changed introduction and summary

Scientific paper

10.1103/PhysRevD.77.123506

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.

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