Qualitative Approach to Semi-Classical Loop Quantum Cosmology
arXiv:gr-qc/0406108 · doi:10.1088/1475-7516/2004/07/013
Abstract
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.
Online at http://www.iop.org/EJ/abstract/1475-7516/2004/07/013
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Cited by in corpus (40)
- Loop Quantum Cosmology
- A Critical Review of Classical Bouncing Cosmologies
- An emergent universe from a loop
- Non-Singular Bouncing Universes in Loop Quantum Cosmology
- Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
- Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
- Loop quantum cosmology and inhomogeneities
- Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
- Genericness of Big Bounce in isotropic loop quantum cosmology
- Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
- Dynamical coherent states and physical solutions of quantum cosmological bounces
- Loop Quantum Gravity and the Cyclic Universe
- Inflationary universe in loop quantum cosmology
- Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
- Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
- Warm inflationary model in loop quantum cosmology
- Inflation: A graceful entrance from Loop Quantum Cosmology
- Primordial Density Perturbation in Effective Loop Quantum Cosmology
- Stability of the Einstein static universe in presence of vacuum energy
- Coordinate time dependence in Quantum Gravity
- Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies
- The Volume Operator in Spherically Symmetric Quantum Geometry
- Elements of Loop Quantum Cosmology
- Correspondence between Loop-inspired and Braneworld Cosmology
- Stability analysis of an autonomous system in loop quantum cosmology
- Early Universe Dynamics in Semi-Classical Loop Quantum Cosmology
- The Lensing Effect of Quantum-Corrected Black Hole and Parameter Constraints from EHT Observations
- On Energy Conditions and Stability in Effective Loop Quantum Cosmology
- Constraints from Solar System tests on a covariant loop quantum black hole
- Loop Quantum Cosmology: Effective theories and oscillating universes
- The cosmological perturbation theory in loop cosmology with holonomy corrections
- Quasinormal modes of a charged loop quantum black hole
- Phenomenology analysis of duration inflation for Tachyon field in loop quantum cosmology
- Universe scenarios from loop quantum cosmology
- Tachyon warm inflation with the effects of Loop Quantum Cosmology in the light of Planck 2015
- Note on the super inflation in loop quantum cosmology
- Dynamics of k-essence in loop quantum cosmology
- Pulsation of black holes
- Phenomenological implications of an alternative Hamiltonian constraint for quantum cosmology
- On the Green's function and iterative solutions of Loop Quantum Cosmology