Some new models for anisotropic strange star with a prescribed form of metric potential $$g_{rr}$$

In this paper, we generate the anisotropic strange star models using a new form of metric potential. We determine the another metric coefficient by assuming a suitable form of anisotropy function, in such a way that both are free from any kind of singularities. We analyze the thermodynamic physical variables and geometric features extensively for the compact stars SMC X-4, LMC X-4. The trends of all the variables are well defined and physically acceptable. The masses and radii of the stellar objects SMCX-4, LMCX-4 are in close agreement with the available known parameters. The interior spacetime metric is to be matched with the Schwarzschild Vacuum Solution to ascertain the constant parameters. The adiabatic index exhibits physically reasonable trend and exceeds 4/3 throughout inside the compact fluid spheres. The stability of stellar models is analyzed via Herrera’s cracking concept and Harrison–Zel’dovich–Novikov criterion. The causality condition is well obeyed by the proposed stellar models. The TOV equation for the equilibrium of the fluid spheres is properly maintained inside the stellar models.