Inflation with the Starobinsky potential in Loop Quantum Cosmology

Abstract

A self-consistent pre-inflationary extension of the inflationary scenario with the Starobinsky potential, favored by Planck data, is studied using techniques from loop quantum cosmology (LQC). The results are compared with the quadratic potential previously studied. Planck scale completion of the inflationary paradigm and observable signatures of LQC are found to be robust under the change of the inflaton potential. The entire evolution, from the quantum bounce all the way to the end of inflation, is compatible with observations. Occurrence of desired slow-roll phase is almost inevitable and natural initial conditions exist for both the background and perturbations for which the resulting power spectrum agrees with recent observations. There exist initial data for which the quantum gravitational corrections to the power spectrum are potentially observable.

6 pages, 3 figures; updated to match published version in GRG Letters, references added and discussion expanded

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• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Non-Gaussianity in Loop Quantum Cosmology
• Primordial power spectrum from the dressed metric approach in loop cosmologies
• Phenomenology with fluctuating quantum geometries in loop quantum cosmology
• Inflation in Loop Quantum Cosmology
• Phenomenological implications of modified loop cosmologies: an overview
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• Some Clarifications on the Duration of Inflation in Loop Quantum Cosmology
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• Scalar spectra of primordial perturbations in loop quantum cosmology
• Quantum gravitational onset of Starobinsky inflation in a closed universe
• Dressed metric predictions revisited
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• Finsler space-time can explain both parity asymmetry and power deficit seen in CMB temperature anisotropies
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
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• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
• (Pre)-Inflationary Dynamics with Starobinsky Potential in Noncommutative Effective LQC