2017/10/31 by M. Shahalam, Manabendra Sharma, Qiang Wu +1 · 41 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Inflation (cosmology) #Inflaton #Kinetic energy #Loop quantum cosmology #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Phase space #Physics #Power law #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Statistical physics #Theoretical physics #Universality (dynamical systems) #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.96.123533
published in Physical review. D/Physical review. D. 96(12) (American Physical Society) · revtex4, 11 figure and 4 tables. Some typos are corrected, and new references are added. Phys. Rev. D96 (2017) 123533
openalex created_date 2017/11/10 · openalex publication_date 2017/12/26 · arxiv created 2017/12/27 · arxiv updated 2018/01/03 · openalex updated_date 2026/08/05
In this paper, we study the preinflationary dynamics for the power-law potential [V(\ensuremathφ)\ensuremath∝\ensuremathφn] with n<2 in the framework of loop quantum cosmology. When the kinetic energy of the inflaton initially dominates, the evolution of the Universe can always be divided into three different phases prior to preheating: bouncing, transition, and slow-roll inflation. During the bouncing phase, the evolution of the expansion factor is independent not only on the initial conditions but also the inflationary potentials and is given explicitly by an analytical solution. In contrast, for the potential energy dominated initial conditions, this universality is lost. We also obtain the total number of e-folds during the slow-roll inflation, whereby physically viable models are identified. In addition, we present phase space analysis for the inflationary potentials under consideration and compare our results with the ones obtained previously for different potentials.