Insights on the stability of compact stars under Durgapal-Lake metric potentials in the framework of non-conservative theory of gravity

This research deals with the impacts of non-conserved gravitational theory on the physical behavior of three anisotropic compact stars. For this purpose, the metric of static spherically symmetric comprising the anisotropic matter composition is taken into account. To examine the various aspects of some particular compact star models, the Durgapal-Lake metric functions are considered. The unknown parameters involved in Durgapal-Lake metric functions are computed via matching constraints with observed data of masses and radii of three particular stellar objects. The obtained results are noted to be as accurate as possible in terms of physical viability. All the physical crucial parameters and characteristics are displayed graphically and these visuals depict the evaluated solutions that are consistent for three distinct stellar models. It is observed that the parameters occurring in the set of solutions have some valuable insights for these solutions. It is determined that the stars under consideration manifest stable structures corresponding to Durgapal-Lake metric potentials in this framework while they exhibit instability in the case of conservative theory, i.e., general relativity. Further, it is exhibited that for the theory factor equals to zero, the results of general relativity can also be observed graphically.