Qualitative Approach to Semi-Classical Loop Quantum Cosmology

Details Qualitative Approach to Semi-Classical Loop Quantum Cosmology Qualitative Approach to Semi-Classical Loop Quantum Cosmology

2004-06-26

arxiv.org/abs/gr-qc/0406108v2

JCAP 0407 (2004) 013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Online at http://www.iop.org/EJ/abstract/1475-7516/2004/07/013

Scientific paper

10.1088/1475-7516/2004/07/013

Recently the mechanism was found which allows avoidance of the cosmological singularity within the semi-classical formulation of Loop Quantum Gravity. Numerical studies show that the presence of self-interaction potential of the scalar field allows generation of initial conditions for successful slow-roll inflation. In this paper qualitative analysis of dynamical system, corresponding to cosmological equations of Loop Quantum Gravity is performed. The conclusion on singularity avoidance in positively curved cosmological models is confirmed. Two cases are considered, the massless (with flat potential) and massive scalar field. Explanation of initial conditions generation for inflation in models with massive scalar field is given. The bounce is discussed in models with zero spatial curvature and negative potentials.

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