2004/06/30 by Gregory Vereshchagin, G. V. Vereshchagin · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1088/1475-7516/2004/07/013
published as JCAP 0407 (2004) 013 · Online at http://www.iop.org/EJ/abstract/1475-7516/2004/07/013
openalex publication_date 2004/07/23 · arxiv created 2004/07/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Recently a 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 a self-interaction potential of the scalar field allows the generation of initial conditions for successful slow-roll inflation. In this paper, qualitative analysis of a dynamical system corresponding to the cosmological equations of loop quantum gravity is performed. The conclusion of singularity avoidance in positively curved cosmological models is confirmed. Two cases are considered: massless (with flat potential) and massive scalar fields. An explanation of the initial conditions generation for inflation in models with a massive scalar field is given. The bounce is discussed for models with zero spatial curvature and negative potentials.