1 research outputs found
Qualitative Approach to Semi-Classical Loop Quantum Cosmology
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.Comment: Online at http://www.iop.org/EJ/abstract/1475-7516/2004/07/01