Physically viable and stable charged perfect fluid solution within F(Q) gravity

Abstract

In this work, we investigate the physical behavior and stability of compact stars in $F\left(Q\right)$ gravity. We employ the Buchdahl metric to examine the dynamics of a relativistic, newly charged, isotropic fluid model. The interplay between gravity and electromagnetism is included in the analysis of the system by taking into account the charged state of the fluid, providing insights into how charged fluids behave in gravitational theories. The exterior solution under Schwarzschild–de Sitter (dS) spacetime is linked to the interior solution at the boundary to identify the constants. It is important to note that the Buchdahl ansatz provides a mathematically viable solution for a given transformation in the context of electric charge when pressure and density are maximum in the center and monotonically fall towards the boundary. We have taken into account the compact star Her X-1 with $M=(0.85\pm 0.15)M_{\odot }$; Radius $=13.26_{-1.08}^{+1.08}$ km for graphical analysis. In the context of $F\left(Q\right)$, the physical acceptability of the model has been examined by looking at the required physical attributes, such as energy conditions, causality, hydrostatic equilibrium, pressure–density ratio, etc. that are satisfied throughout the stellar configuration. It is concluded that the present approach allows a suitable modeling of astrophysical compact objects in $F\left(Q\right)$ gravity.