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Qualitative analysis of two-fluid FRW cosmological models
Authors:A K Verma
Institution:(1) Department of Mathematical Sciences and Computer Applications, Bundelkhand University, Jhansi, 284128, Uttar Pradesh, India
Abstract:This paper focuses attention on a qualitative analysis of the evolution of two-fluid flat FRW cosmological models.In the first model one of the fluid represents matter content of the universe comoving with respect to the another fluid that is the cosmic microwave background radiation (CMBR), these two fluids are interacting.The first model is most relevant to describe the scenario before the recombination epoch when matter and radiation were in an interactive phase and the photons was bound to electron through Thomson scattering. The second model describe two noninteracting fluids where the matter is comoving to the space-time coordinates and the CMBR is moving axially, relative to the matter thus modeling the relative velocity between galaxies and the CMBR (Phys. Rev. Lett. 39:898–901, 1977). This model portray the cosmic evolution in the postrecombination epoch when the two-fluid are noninteracting.In this epoch the photons got themselves free to form the CMBR being observed presently.
Keywords:Cosmic microwave background radiation  Hubble parameter  Equilibrium point  Bendixson criteria  Limit cycles  Attractor
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