Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials

Abstract

We consider the matter bounce scenario in Loop Quantum Cosmology (LQC) for physical potentials that at early times provide a nearly matter dominated Universe in the contracting phase, having a reheating mechanism in the expanding phase, i.e., being able to release the energy of the scalar field creating particles that thermalize in order to match with the hot Friedmann Universe, and finally at late times leading to the current cosmic acceleration. For these models, numerically solving the dynamical equations we have seen that the teleparallel version of LQC leads to theoretical results that fit well with current observational data. More precisely, in teleparallel LQC there is a set of solutions which leads to theoretical results that match correctly with last BICEP2 data, and there is another set whose theoretical results fit well with {\it Planck's} experimental data. On the other hand, in holonomy corrected LQC the theoretical value of the tensor/scalar ratio is smaller than in teleparallel LQC, which means that there is always a set of solutions that matches with {\it Planck's} data, but for some potentials BICEP2 experimental results disfavours holonomy corrected LQC.

A section about reheating in the matter bounce scenario has been added. Version accepted for publication in JCAP

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• Unimodular $f(G)$ gravity
• Tensor Perturbations from Bounce Inflation Scenario in f(Q) Gravity
• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions