Models of Anisotropic Stars in Spherically Symmetric Space-Time

We introduce a new, well-mannered and stable model. To create the model, we used well-known Finch–Skea [1] ansatz for the metric potential \(g_{rr}\). For our model, we look into a number of physical variables, including the energy density, pressures, mass, anisotropy factor, gravitational redshifts, energy conditions, and stability analysis by utilizing graphs. This made sure that our suggested solutions behave as expected and represent physically plausible models for anisotropic matter distributions. We consider compact stars to compare our model with observational data: SAX J1808.4-3658, Her X-1, 4U 1608-52, PSR B1913 \(+\) 16, Cen X-3, LMC X-4, PSR J1614-2230, 4U1538-52, PSR J1903 \(+\) 327, SMC X-1, 4U 1820-30, Vela X-1.