Impact of quintessence dark energy on anisotropic stellar models for Tolman IV metric in Rastall gravity

One possible tactic to stop compact things from gravitationally collapsing into singularities is dark energy. It has the most effect on the universe since it is the reason behind our universe’s accelerated expansion. Thus, it is conceivable that any compact star object in the universe will interact with dark energy. This manuscript deals with the consequences of quintessence dark energy on the structural attributes of anisotropic compact stellar objects in the scenario of non-conservative gravitational theory. In order to evaluate the field equations of non-conservative theory, Tolman IV metric ansatz is employed coupled with a quintessence dark energy identified by a factor ${\omega }_q$ possessing $-1<{\omega }_q<-\frac{1}{3}$. Utilizing the matching conditions with observed choices of masses and radii of some specific compact star representatives such as PSR J1614-2230, Vela X-1, Her X-1 and Cen X-3, we compute the unknown Tolman IV parameters. Graphically a detailed analysis of the physical properties is provided, including the energy density, quintessence density, pressure components, and stability. Additionally, the matter variables’ radially symmetric profiles are presented. Through the analysis of all these physical aspects, it is demonstrated that the anisotropic compact models are viable and well-stabilized in the Rastall gravity regime with the Tolman IV ansatz. The comparative research also shows that our model is better in line with observational results than the general relativity results for a few choices of the Rastall dimensionless parameter.