Probability of inflation in Loop Quantum Cosmology

Abstract

We discuss how initial conditions for cosmological evolution can be defined in Loop Quantum Cosmology with massive scalar field and how the presence of the bounce influences the probability of inflation in this theory, compared with General Relativity. The main finding of the paper is existence of an attractor in the contracting phase of the universe, which results in special conditions at the bounce, quite independent on the measure of initial conditions in the remote past, and hence very specific duration of inflationary stage with the number of e-foldings about $140$.

arXiv commentAccepted for publication in Phys. Rev. D

References in corpus (24)

• Background Independent Quantum Gravity: A Status Report
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Absence of Singularity in Loop Quantum Cosmology
• Black hole entropy in Loop Quantum Gravity
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Inflationary spacetimes are not past-complete
• Black hole entropy from Quantum Geometry
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Are loop quantum cosmos never singular?
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• The Measure Problem in Cosmology
• Loop quantum cosmology and slow roll inflation
• Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
• Initial Conditions for Inflation - A Short Review
• Measure and Probability in Cosmology
• On the measure problem in slow roll inflation and loop quantum cosmology
• Attractor Solutions in Scalar-Field Cosmology
• Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmolog
• How Many $e$-Folds Should We Expect from High-Scale Inflation?
• Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
• Inflationary Attractors and their Measures
• Some Clarifications on the Duration of Inflation in Loop Quantum Cosmology
• Flat cosmological models with massive scalar field in gauge theories of gravity

Cited by in corpus (10)

• On the measure problem in slow roll inflation and loop quantum cosmology
• Genericness of pre-inflationary dynamics and probability of the desired slow-roll inflation in modified loop quantum cosmologies
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Phenomenological implications of modified loop cosmologies: an overview
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Observational Constraints on Warm Inflation in Loop Quantum Cosmology
• Warm bounce in loop quantum cosmology and the prediction for the duration of inflation
• Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology
• Bouncing and inflationary dynamics in quantum cosmology in the de Broglie-Bohm interpretation
• Quantum Cosmology in $f(Q)$ theory