The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis

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 st...

Full description

Bibliographic Details
Author: Haro Cases, Jaume|||0000-0002-5705-2405
Format: article
Publication Date:2018
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/127394
Online Access:https://hdl.handle.net/2117/127394
https://dx.doi.org/10.1140/epjc/s10052-018-6402-z
Access Level:Open access
Keyword:Relativity (Physics)
Cosmology
Inflation
gravity
Relativitat (Física)
Cosmologia
Àrees temàtiques de la UPC::Matemàtiques i estadística
Description
Summary: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.