Cosmological perturbations in teleparallel Loop Quantum Cosmology

Abstract

Cosmological perturbations in Loop Quantum Cosmology (LQC) are usually studied incorporating either holonomy corrections, where the Ashtekar connection is replaced by a suitable sinus function in order to have a well-defined quantum analogue, or inverse-volume corrections coming from the eigenvalues of the inverse-volume operator. In this paper we will develop an alternative approach to calculate cosmological perturbations in LQC based on the fact that, holonomy corrected LQC in the flat Friedmann-Lemaître-Robertson-Walker (FLRW) geometry could be also obtained as a particular case of teleparallel $F(T)$ gravity (teleparallel LQC). The main idea of our approach is to mix the simple bounce provided by holonomy corrections in LQC with the non-singular perturbation equations given by $F(T)$ gravity, in order to obtain a matter bounce scenario as a viable alternative to slow-roll inflation. In our study, we have obtained an scale invariant power spectrum of cosmological perturbations. However, the ratio of tensor to scalar perturbations is of order $1$, which does not agree with the current observations. For this reason, we suggest a model where a transition from the matter domination to a quasi de Sitter phase is produced in order to enhance the scalar power spectrum.

version accepted for publication in JCAP

References in corpus (14)

• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Towards a Nonsingular Bouncing Cosmology
• Cosmological perturbations in f(T) gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Growth factor in f(T) gravity
• Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
• Loop quantum gravity corrections to gravitational wave dispersion
• Cosmology without inflation
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
• The Matter Bounce Alternative to Inflationary Cosmology
• Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
• Consistent Loop Quantum Cosmology
• Turning Big Bang into Big Bounce: I. Classical Dynamics

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• Nonsingular bouncing cosmologies in light of BICEP2
• Quasi-matter domination parameters in bouncing cosmologies
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
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• Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Viability of the Matter Bounce Scenario
• The matter-ekpyrotic bounce scenario in Loop Quantum Cosmology
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Cosmological perturbations in a class of fully covariant modified theories: Application to models with the same background as standard LQC
• Universal properties of the evolution of the Universe in modified loop quantum cosmology
• Qualitative study in Loop Quantum Cosmology