Preinflationary dynamics of power-law potential in loop quantum cosmology

Abstract

In this article, I mainly discuss the dynamics of the pre-inflationary Universe for the potential $V(\varphi )\propto {\varphi }^n$ with $n=5/3$ in the context of loop quantum cosmology, in which the big bang singularity is resolved by a non-singular quantum bounce. In the case of the kinetic energy-dominated initial conditions of the scalar field at the bounce, the numerical evolution of the Universe can be split up into three regimes: {\em bouncing, transition,} and {\em slow-roll inflation}. In the bouncing regime, the~numerical evolution of the scale factor does not depend on a wide range of initial values, {or on}~the inflationary potentials. I calculate the number of $e$-folds in the slow-roll regime, by which observationally identified initial conditions are obtained. Additionally, I display the phase portrait for the model under consideration.

arXiv comment6 pages, 2 figures, 1 table. This article is based on the talk given in International Conference on Quantum Gravity, SUSTech, Shenzhen, China, 26-28 March 2018

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• Phenomenological implications of modified loop cosmologies: an overview
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• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Late time evolution of a nonminimally coupled scalar field system
• Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background
• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology