An Exact Solution of Perfect Fluid in Isotropic Coordinates, Compatible with Relativistic Modeling of Star

We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for perfect fluid, compatible with a super dense star modeling. The solution is well behaved for all the values of u lying in the range 0<u≤0.12. Further, we have constructed a super-dense star model with all degree of suitability and by assuming the surface density ρ _b =2×10¹⁴ g/cm³. Corresponding to u=0.12, the resulting well behaved model has maximum mass M=0.912M _Θ with radius R _b ≈11.27 km and Moment of inertia 0.97×10⁴⁵ gm?cm². The good matching of our results for Vela pulsars show the stoutness of our model.