Dynamic stability of A-varying non-zero torsion cosmology

This paper aims to study the stability analysis of Friedmann-like spacetime in the presence of torsion through dynamical system techniques. For this purpose, we consider equations of motion which describe the evolution in an isotropic and homogeneous cosmological background with non-vanishing torsion and convert them into the first order autonomous system of differential equations. In order to identify system's equilibrium points, we implement an ansatz for the torsion term phi(t) = AH. Furthermore, within this framework, the cosmological scenario of the varying vacuum is being considered where dark matter interacts with vacuum. We take into account various forms of interaction term to study the effects of linear and non-linear interaction and examine the stability in each case. It is found that these cosmological solutions can describe different evolutionary phases of the universe and behave as stable attractor for the specific values of the parameters. For each case of interaction model, the phase space portraits exhibit the attractive behavior of the universe.

Automated summary

This paper utilizes dynamical system techniques to study the stability analysis of Friedmann-like spacetime in the presence of torsion. By converting the equations of motion into a first order autonomous system of differential equations and introducing an ansatz for the torsion term, the effects of various forms of interaction on stability are examined. It is found that the cosmological solutions can describe different evolutionary phases and exhibit stable attractor behavior.