The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
arXiv:1806.08926 · doi:10.1140/epjc/s10052-018-6402-z
Abstract
The Dapor-Liegener model of Loop Quantum Cosmology (LQC), which depicts an emergent universe from a de Sitter regime in the contracting phase is studied from the mathematical viewpoint of dynamical systems and compared with the standard model of LQC. Dealing with perturbations, on the contrary to standard LQC where at early times all the scales are inside the Hubble radius, we show that it is impossible to implement the matter bounce scenario due to the fact that an emergent de Sitter regime in the contracting phase implies that all the scales are outside of the Hubble radius in a past epoch.
10 pages, 2 figures. Version accepted for publication in EPJC
References in corpus (19)
- Quantum Nature of the Big Bang: Improved dynamics
- A Joint Analysis of BICEP2/Keck Array and Planck Data
- Quantum Nature of the Big Bang
- Are loop quantum cosmos never singular?
- Non-Singular Bouncing Universes in Loop Quantum Cosmology
- Avoidance of future singularities in loop quantum cosmology
- Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
- Is loop quantization in cosmology unique?
- Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
- Towards Cosmological Dynamics from Loop Quantum Gravity
- Non-singular bounce scenarios in loop quantum cosmology and the effective field description
- Anomaly-free cosmological perturbations in effective canonical quantum gravity
- Hypersurface-deformation algebroids and effective space-time models
- Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
- Cosmological Coherent State Expectation Values in LQG I. Isotropic Kinematics
- Transcending Big Bang in Loop Quantum Cosmology: Recent Advances
- Effective Actions from Loop Quantum Cosmology: Correspondence with Higher Curvature Gravity
- Cosmological perturbations in a class of fully covariant modified theories: Application to models with the same background as standard LQC
- Bouncing Cosmologies
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- Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
- Universal properties of the evolution of the Universe in modified loop quantum cosmology
- The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
- Uniqueness of minimal loop quantum cosmology dynamics
- Dapor-Liegener formalism of loop quantum cosmology for Bianchi I spacetimes