2020/09/30 by Debottam Nandi
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Nuclear physics #Particle physics #Physics #Stability (learning theory) #Theoretical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.3390/universe7030062
published as Universe 2021, 7(3), 62 · 23 pages, 1 figure, new references added, published in a special issue 'Bounce Cosmology' in the journal Universe
openalex publication_date 2021/03/10 · arxiv created 2021/03/17 · arxiv updated 2021/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The main difficulties in constructing a viable early Universe bouncing model are: to bypass the observational and theoretical no-go theorem, to construct a stable non-singular bouncing phase, and perhaps, the major concern of it is to construct a stable attractor solution which can evade the Belinsky–Khalatnikov–Lifshitz (BKL) instability as well. In this article, in the homogeneous and isotropic background, we extensively study the stability analysis of the recently proposed viable non-minimal bouncing theory in the presence of an additional barotropic fluid and show that, the bouncing solution remains stable and can evade BKL instability for a wide range of the model parameter. We provide the expressions that explain the behavior of the Universe in the vicinity of the required fixed point i.e., the bouncing solution and compare our results with the minimal theory and show that ekpyrosis is the most stable solution in any scenario.