Physically Viable Imperfect Fluid Models of Compact Stars

In this manuscript, we present a novel approach to constructing a distinct anisotropic solution for spherically symmetric spacetime. Our investigation focuses on the Buchdahl metric potential to solved Einstein’s field equations, and studied it for the cases of Buchdahl parameter K, when \(K\notin [0,1]\). We have obtained six different solutions and to show that our models fit with observational data, these solutions are analyzed for some known compact stars like EXO 1785-248, SMC X-1, LMC X-4, Her X-1, SAX J1808.4-3658, 4U 1538-52 and PSR B0941+10. The model satisfies all the physical as well as stability conditions, which verify the validity of the model. We have also explored the hydrostatic equilibrium for an uncharged case using the TOV equation. As strong evidence for more realistic and viable models, we have also provided graphical representations wherever required.