Abstract:
This article examines anisotropic models to characterize compact stars (CSs) in the context of modified f (Q)
gravity theory. To achieve this, we employ the linear functional form f (Q) = αQ + β. A physically meaningful
metric potential grr is considered, and a quadratic form of
anisotropy is utilized to solve the Einstein field equations
in closed form. This class of solutions is then applied to
characterize observed pulsars from various perspectives. In
the scope of f (Q) gravity, we address the Darmois–Israel
junction requirements to guarantee a smooth matching of the
inner metric with the external metric (Schwarzschild (Anti-)
de Sitter solution) at the boundary hypersurface. By applying
these junction conditions, we determine the model parameters involved in the solutions. Additionally, this study evaluates the physical viability and dynamical stability of the solution for different values of the f (Q)-parameter α within the
compact star (CS). The mass–radius relationships associated
with observational constraints are analyzed for several compact stars, including Vela X-1, PSR J1614-2230, and PSR
J0952-0607. The investigation indicates that the estimated
radius of the compact object PSR J0952-0607, with mass
2.35 ± 0.17 M, is around 15.79+0.05 −0.09 km for a particular
parameter value of α = 2.0, and the moment of inertia for
the de Sitter space is determined as 4.31 × 1045 g cm2. The
I − M curve shows greater sensitivity to the stiffness of the equation of state than the M − R curve, reinforcing our conclusion about the I −M framework’s responsiveness. Finally,
we predicted the corresponding radii and moments of inertia
for various values of α based on the M −R and M −I curves.
