Abstract
A cosmological model having matter field as (non) interacting dark energy (DE) and baryonic matter and minimally coupled to gravity is considered in the present work with flat FLRW space time. The DE is chosen in the form of a three-form field while radiation and dust (i.e; cold dark matter) are the baryonic part. The cosmic evolution is studied through dynamical system analysis of the autonomous system so formed from the evolution equations by suitable choice of the dimensionless variables. The stability of the non-hyperbolic critical points are examined by Center manifold theory and possible bifurcation scenarios have been examined.
Highlights
The cosmologists for the last 2 decades are tirelessly searching for a theory which shows the present accelerated expansion of the universe as predicted by a series of observational results [1]
Cosmologists are not unanimous over this issue rather they have two distinct opinions – one group is in favour of standard cosmology and they introduce some exotic matter to explain this accelerated expansion while the other group prefers some modified gravity theory instead of Einstein gravity and they speculate that the extra geometric terms may responsible for this accelerated expansion [2]
Due to complicated form of the Einstein field Equations, the evolution equations are converted into an autonomous system by suitable choice of the dimensionless variables and non-hyperbolic equilibrium points are analyzed by Center manifold theory on the Hilbert space [18,19,20]
Summary
The cosmologists for the last 2 decades are tirelessly searching for a theory which shows the present accelerated expansion of the universe as predicted by a series of observational results [1]. In the present work the three-form field is chosen as DE candidate. It has been shown that the dual of the threeform field is a scalar field which has an equivalence with K -inflation model [17] if the potential is non-quadratic in form. The present cosmological model contains this threeform field with (interacting, non-interacting) baryonic matter in the form of dust and radiation. Due to complicated form of the Einstein field Equations, the evolution equations are converted into an autonomous system by suitable choice of the dimensionless variables and non-hyperbolic equilibrium points are analyzed by Center manifold theory on the Hilbert space [18,19,20]. The summary of the present work is proposed in Sect.
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