A generalized solution for anisotropic compact star model in F(Q) gravity

Abstract

In this work, we investigate an anisotropic compact star’s physical properties and stability in $F\left(Q\right)$ gravity. The study focuses on the significance of $F\left(Q\right)$ gravity on the structure and stability of compact star, considering non-perfect fluid. Buchdahl ansatz along with transformation used to solve the Einstein field equations. We investigate the physical parameters of the 4U1820-30 compact star using a static spherical metric in the interior region and a Schwarzschild (anti) de-sitter metric in the exterior region. We investigate the behaviour of energy density($\rho$), radial pressure($p_r$), tangential pressure($p_t$), anisotropy($\Delta$), metric potentials, energy state parameter and energy requirements in the interior of the proposed stellar object. The equilibrium state of this star is analysed using the Tolman–Oppenheimer–Volkoff(TOV) equation and their stability is determined using the Necessary and physical existence requirements , causality condition, Harrison-Zeldovich-Novikov condition, the adiabatic index($\Gamma$) method and Herrera cracking method.