Anisotropic compact star model with quadratic equation of state in paraboloidal spacetime

In this work, we report a new exact solution of Einstein's field equations for static spherically symmetric anisotropic matter distributions on the background of paraboloidal spacetime by assuming a quadratic equation of state. The model parameters were found by matching the interior spacetime metric with the Schwarzschild exterior metric. The new exact solution is non-singular and meets all of the physical plausibility conditions for a realistic compact star. The detailed physical analysis of the model reveals that the gravitational potentials and matter variables are well-behaved throughout the distribution. The stability of the model has been analyzed under various conditions.