Anisotropic Compact Star with Vaidya-Tikekar Potential in $f(Q)$ Gravity

Abstract

The goal of this work is to develop physical models for spherically symmetric systems in the realm of $f(Q)$ gravity. The field equations are set up for anisotropic fluid and formulate these equations using physical ansatz of Vaidya-Tikekar solution. The intrinsic constants of the model be ascertained by matching the interior solution to the external Schwarzschild solution. The use of accessibility conditions helps to understand the physical viability of the obtained model. LMC X-4 pulsar is used as a toy model to test the viability of the model and Mathematica software is used for deeper insights and visualization of the physical parameters against fixed values of constants.