Abstract:
In the present article anisotropic solutions with
vanishing complexity in the framework of f (Q) gravity are
generated. At first, the field equations in f (Q)-gravity are
gravitationally decoupled where the isotropic fluid component corresponds to Vlasenko–Pronin space-time. Then, with
a new source, the complete geometric deformation is supplemented to an isotropic component, and the related deformation function is derived by the method known as mimicking
of mass constraints. Furthermore, the generated anisotropic
solution prevails all the physical tests along with the stability
analysis with respect to the decoupling parameter as well as
the f (Q) gravity parameter and it accomplishes the physical representation of observational constraint related to stars,
namely, SMC X-1, 2 S 0921-630, PSR J0437-4715, Vela X1, PSR J1748-2021B which are reflected in Mass–Radius
curves. Hence, the study comes out to be worthy of the fact
that the f (Q) gravity parameter directly influences the maximum mass of a compact stellar configuration for the fixed
decoupling parameter in the context of gravitational decoupling where it predicts the star PSR J1748-2021B having
highest mass 2.74 M. It is noted that when the decoupling
parameter (α) increases, the central value of the adiabatic
index value also increases, while the reverse situation occurs
when the f (Q)-parameter (β1) gets increased. This implies that both the parameters α and β1 have the overall controlling
power on the stability of the model.
