The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis

TL;DR

This paper analyzes the Dapor-Liegener model of Loop Quantum Cosmology using dynamical systems, highlighting differences from standard LQC in early universe behavior and the impossibility of matter bounce scenarios due to horizon scale issues.

Contribution

It provides a dynamical systems analysis of the Dapor-Liegener LQC model and compares its early universe dynamics with the standard LQC model.

Findings

Emergent universe from a de Sitter regime in the contracting phase.

Impossibility of matter bounce scenario in this model.

All scales are outside the Hubble radius in the past epoch.

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.