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

References in corpus (6)

• Spherically Symmetric Quantum Geometry: States and Basic Operators
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• Effective constraints of loop quantum gravity
• Elements of Loop Quantum Cosmology
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• The Spectrum of Fluctuations in Singularity-free Inflationary Quantum Cosmology

Cited by in corpus (21)

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• Cosmological vector modes and quantum gravity effects
• Inflationary universe in 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
• Thermal fluctuations in loop cosmology
• Effective constraints of loop quantum gravity
• On the Onset of Inflation in Loop Quantum Cosmology
• Tensor power spectrum with holonomy corrections in LQC
• Relic gravitons as the observable for Loop Quantum Cosmology
• The radiation equation of state and loop quantum gravity corrections
• Loop Quantum Cosmology: Effective theories and oscillating universes
• 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