Some interacting cosmic models in deformed Horava-Liftshiz gravity and dynamical stability

In the present article, we study the dynamical stability of some cosmic models and their cosmographic parameters for the cosmological consequences under the framework of deformed Horava-Liftshiz gravity. The dynamical analysis approach applies to four interaction models of varying vacuum dark energy. In each model, we compute corresponding critical points, discuss their stability as well as analyze the behavior of the deceleration and the equation of state cosmographic parameters. As the core outcomes, we observe that except for one, all critical points of different interaction models are stable and their phase plots represent attractive behavior. Further, the cosmographic parameters are physically consistent with the recent cosmic observations of accelerating expansion of the universe and represent quintessence era under the stability conditions of different cosmic models.

Automated summary

In this article, we studied the dynamical stability of cosmic models and their cosmographic parameters within the framework of deformed Horava-Liftshiz gravity. We used a dynamical analysis approach to investigate four interaction models with varying vacuum dark energy. Our results showed that, except for one, all critical points in different interaction models were stable and exhibited attractive behavior. Additionally, the cosmographic parameters were consistent with recent cosmic observations and represented the quintessence era under the stability conditions of different cosmic models.