Minimally deformed anisotropic solution generated by vanishing complexity factor condition in f(Q)-gravity theory

Abstract

In the current paper, we investigated a spherically symmetric anisotropic solution by applying the gravitational decoupling approach in the context of the vanishing complexity factor condition Contreras and Stuchlik, (2022, Eur Phys J C 82 706) in f(Q) gravity theory for the first time. A relation between the gravitational potentials for a spherically symmetric spacetime in f(Q)-gravity theory has been derived using the vanishing complexity factor condition. To solve the system of equations, we utilized the Tolman metric along with the mimic constraint to density approach. The constants are evaluated by the joining of the spacetime for the interior solution to the Schwarzschild (Anti-) di Sitter exterior spacetime at the boundary. The physical viability of the solution along with its dynamical stability of the solution beyond the f(Q)-gravity theory is tested in order to represent a realistic model. We also discuss the impact of decoupling constants on the maximum mass limit, pressure, and density via equi-contour diagram.