2020/11/18 by Soumya Chakraborty, Chakraborty, Soumya, Sudip Mishra +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2011.09842
openalex publication_date 2020/11/18 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
The present work is an example of the application of the dynamical system\nanalysis in the context of cosmology. Here cosmic evolution is considered in\nthe background of homogeneous and isotropic flat\nFriedmann-Lema itre-Robertson-Walker space-time with interacting dark energy\nand varying mass dark matter as the matter content. The Dark Energy (DE) is\nchosen as phantom scalar field with self-interacting potential while the Dark\nMatter (DM) is in the form of dust. The potential of the scalar field and the\nmass function of dark matter are chosen as exponential or power-law form or in\ntheir product form. Using suitable dimensionless variables the Einstein field\nequations and the conservation equations constitute an autonomous system. The\nstability of the non-hyperbolic critical points are analyzed by using center\nmanifold theory. Finally, cosmological phase transitions have been detected\nthrough bifurcation analysis which has been done by Poincar 'e index theory.\n