Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves

Abstract

Loop quantum cosmology provides an efficient framework to study the evolution of the Universe beyond the classical Big Bang paradigm. Because of holonomy corrections, the singularity is replaced by a "bounce". The dynamics of the background is investigated into the details, as a function of the parameters of the model. In particular, the conditions required for inflation to occur are carefully considered and are shown to be generically met. The propagation of gravitational waves is then investigated in this framework. By both numerical and analytical approaches, the primordial tensor power spectrum is computed for a wide range of parameters. Several interesting features could be observationally probed.

11 pages, 14 figures. Matches version published in Phys. Rev. D

References in corpus (19)

• Inflationary Cosmology
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Loop Quantum Cosmology: An Overview
• Loop quantum gravity corrections to gravitational wave dispersion
• Evolution of Metric Perturbations in Quintom Bounce model
• A Model Of Inflationary Cosmology Without Singularity
• Cosmological footprints of loop quantum gravity
• Super-inflation in Loop Quantum Cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• A classical bounce: constraints and consequences
• How quantum is the big bang?
• The Observational Implications of Loop Quantum Cosmology
• Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation
• Relic gravitons as the observable for Loop Quantum Cosmology
• Tensor power spectrum with holonomy corrections in LQC
• Constraints on a scale invariant power spectrum from superinflation in LQC
• Observational constraints of a power spectrum from super-inflation in Loop Quantum Cosmology
• Energy Scale of the Big Bounce
• Cosmological inflation driven by holonomy corrections of loop quantum cosmology

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• Loop Quantum Cosmology: A Status Report
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• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Loop quantum cosmology of Bianchi type IX models
• Probability of Inflation in Loop Quantum Cosmology
• Introduction to Loop Quantum Cosmology
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• Hybrid quantization of an inflationary universe
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Pre-inflationary universe in loop quantum cosmology
• Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra
• Loop quantum gravity: the first twenty five years
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• Quantum-Reduced Loop Gravity: Cosmology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Observational test of inflation in loop quantum cosmology
• Hybrid quantization of an inflationary model: The flat case
• Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmolog
• Universal features of quantum bounce in loop quantum cosmology
• Quantum Cosmology: Effective Theory
• Primordial scalar power spectrum from the Euclidean Big Bounce
• Evidence for bouncing evolution before inflation after BICEP2
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• Primordial tensor power spectrum in holonomy corrected Omega-LQC
• Quantum Gravity: A Brief History of Ideas and Some Prospects
• Primordial black holes as a novel probe of primordial gravitational waves
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• General dissipative coefficient in warm intermediate inflation in loop quantum cosmology in light of Planck and BICEP2
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• Observational effects from quantum cosmology
• Loop Quantum Cosmology: A brief review
• Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology
• Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Detecting quantum gravitational effects of loop quantum cosmology in the early universe?
• Scalar and tensor perturbations in loop quantum cosmology: High-order corrections
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations
• Constraints on standard and non-standard early Universe models from CMB B-mode polarization
• Effective dynamics of the hybrid quantization of the Gowdy T^3 universe
• Observational hints on the Big Bounce
• Some conceptual issues in loop quantum cosmology
• Non-linear (loop) quantum cosmology
• Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
• Loop Quantum Cosmology
• Phenomenology of Quantum Reduced Loop Gravity in the isotropic cosmological sector
• Embedding loop quantum cosmology without piecewise linearity
• Manifestly Gauge-Invariant Cosmological Perturbation Theory from Full Loop Quantum Gravity
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• Preinflationary dynamics of power-law potential in loop quantum cosmology
• Pre-big-bang black-hole remnants and the past low entropy
• Inflationary power spectra with quantum holonomy corrections
• Gravitational wave generation in loop quantum cosmology
• Modifications to Gravitational Wave Equation from Canonical Quantum Gravity
• Phenomenology analysis of duration inflation for Tachyon field in loop quantum cosmology
• Note on the super inflation in loop quantum cosmology
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• The energy spectrum of gravitational waves in a loop quantum cosmological model
• Bouncing and inflationary dynamics in quantum cosmology in the de Broglie-Bohm interpretation
• Slow-roll approximation in loop quantum cosmology
• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
• Alternative effective mass functions in the modified Mukhanov-Sasaki equation of loop quantum cosmology
• Emergence of General Relativity from Loop Quantum Gravity: A Summary
• Quantum gravity in the very early universe
• Tensor Tilt from Primordial B-modes
• Emergence of General Relativity from Loop Quantum Gravity
• New Approach to Evolving Gravitational Waves in Loop Quantum Cosmology
• Time Asymmetry of Cosmic Background Evolution in Loop Quantum Cosmology
• A note on testing pre-inflationary times with gravitational-waves
• Langton's Ant from the Ant's referential