Power spectrum of primordial perturbations for an emergent universe in quantum reduced loop gravity

Abstract

We study the dynamics and predictions of a new emergent-universe model recently derived within Quantum Reduced Loop Gravity and based on the so-called statistical regularization scheme. These effective geometries show a dynamical transition from a stationary spacetime, with nearly constant scale factor at very early times, to a late-time semiclassical phase well approximated by a classical Friedmann-Robertson-Walker spacetime. We show that this is always the case when the matter content is a minimally coupled scalar field subject to a quadratic potential, including the massless case. Besides, a finite period of (nearly) exponential expansion in the semiclassical region can take place. Hence, we incorporate cosmological scalar and tensor perturbations, with a well-defined dynamics, and compute their power spectra at the end of inflation. We show that they are nearly scale invariant up to some scale where scale invariance is broken. Besides, they show qualitative differences with respect to the bouncing scenario of Loop Quantum Cosmology at scales where the scale invariance is broken. Nevertheless, the tensor-to-scalar ratio remains approximately constant even for modes well affected by the background evolution.

arXiv comment28 pages, 8 figures

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• Hybrid Loop Quantum Cosmology: An Overview
• Phenomenological implications of modified loop cosmologies: an overview
• States of Low Energy in bouncing inflationary scenarios in Loop Quantum Cosmology
• Non-oscillating power spectra in Loop Quantum Cosmology
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• Analytical approximations for primordial power spectra in a spatially closed emergent universe
• $\alpha$-attractor potentials in loop quantum cosmology
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• Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology