Preinflationary Dynamics of Power-Law Potential in Loop Quantum Cosmology †
Institute for Advanced Physics & Mathematics, Zhejiang University of Technology, Hangzhou 310032, China
This paper is based on the talk on the conference of International Conference on Quantum Gravity, SUSTech, Shenzhen, China, 26–28 March 2018.
Received: 30 June 2018 / Revised: 2 August 2018 / Accepted: 8 August 2018 / Published: 10 August 2018
In this article, I mainly discuss the dynamics of the pre-inflationary Universe for the potential
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: bouncing, transition
, and 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.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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MDPI and ACS Style
Shahalam, M. Preinflationary Dynamics of Power-Law Potential in Loop Quantum Cosmology †. Universe 2018, 4, 87.
Shahalam M. Preinflationary Dynamics of Power-Law Potential in Loop Quantum Cosmology †. Universe. 2018; 4(8):87.
Shahalam, M. 2018. "Preinflationary Dynamics of Power-Law Potential in Loop Quantum Cosmology †." Universe 4, no. 8: 87.
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