Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

Abstract

Cosmological perturbation equations are derived systematically in a canonical scheme based on Ashtekar variables. A comparison with the covariant derivation and various subtleties in the calculation and choice of gauges are pointed out. Nevertheless, the treatment is more systematic when correction terms of canonical quantum gravity are to be included. This is done throughout the paper for one characteristic modification expected from loop quantum gravity.

24 pages, 1 figure

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Cited by in corpus (54)

• Loop Quantum Cosmology: A Status Report
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Anomaly freedom in perturbative loop quantum gravity
• Loop quantum gravity corrections to gravitational wave dispersion
• Large scale effective theory for cosmological bounces
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology
• Super-inflation in Loop Quantum Cosmology
• Gravitational waves from the Big Bounce
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Cosmological vector modes and quantum gravity effects
• Inflationary universe in loop quantum cosmology
• Testing loop quantum cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to cosmology
• Exact solutions for Big Bounce in loop quantum cosmology
• Warm inflationary model in loop quantum cosmology
• Inflationary observables in loop quantum cosmology
• Thermal fluctuations in loop cosmology
• Observational Exclusion of a Consistent Quantum Cosmology Scenario
• The Observational Implications of Loop Quantum Cosmology
• Effective constraints of loop quantum gravity
• General dissipative coefficient in warm intermediate inflation in loop quantum cosmology in light of Planck and BICEP2
• On the Onset of Inflation in Loop Quantum Cosmology
• Warm inflation in loop quantum cosmology: a model with a general dissipative coefficient
• Relic gravitons as the observable for Loop Quantum Cosmology
• Tensor power spectrum with holonomy corrections in LQC
• Inflationary scalar spectrum in loop quantum cosmology
• Modified general relativity as a model for quantum gravitational collapse
• Gauge invariant variables for cosmological perturbation theory using geometrical clocks
• Anomaly-free deformations of spherical general relativity coupled to matter
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Observational hints on the Big Bounce
• Holonomy and inverse-triad corrections in spherical models coupled to matter
• Loop Quantum Cosmology
• The radiation equation of state and loop quantum gravity corrections
• Non-Gaussian features from the inverse volume corrections in loop quantum cosmology
• Loop Quantum Cosmology: Effective theories and oscillating universes
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• The cosmological perturbation theory in loop cosmology with holonomy corrections
• Tachyon warm inflation with the effects of Loop Quantum Cosmology in the light of Planck 2015
• Dynamics of k-essence in loop quantum cosmology
• Gravitational waves with generalized holonomy corrections
• Dark matter as the Bose-Einstein condensation in loop quantum cosmology
• Mimetic gravity: mimicking the dynamics of the primeval universe in the context of loop quantum cosmology
• Adiabatic and non-adiabatic perturbations for loop quantum cosmology
• Power spectrum and anisotropy of super inflation in loop quantum cosmology
• The probability of inflation in Loop Quantum Cosmology
• Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology
• New Approach to Evolving Gravitational Waves in Loop Quantum Cosmology
• Quantum gravity effects on space-time
• Singularities in loop quantum cosmology