Role of vanishing complexity factor in generating spherically symmetric gravitationally decoupled solution for self-gravitating compact object

Abstract

In this work, we study the role of the vanishing complexity factor in generating self-gravitating compact objects under gravitational decoupling technique in f(Q)-gravity theory. To tackle the problem, the gravitationally decoupled action for modified f(Q) gravity has been adopted in the form {mathscr {S}}={{mathscr {S}}_{Q}}+{{mathscr {S}}^{*}_{theta }}, where {mathscr {S}}_Q denotes the Lagrangian density of the fields which appears in the f(Q) theory while {mathscr {S}}^{*}_{theta } (=alpha {mathscr {S}}_{theta }, where alpha is just a coupling parameter which controls the deformation) describes the Lagrangian density for a new kind of gravitational sector which has not been included in f(Q) gravity. After that, we developed an important relation between gravitational potentials via a systematic approach (Contreras and Stuchlik in Eur Phys J C 82:706, 2022) using the vanishing complexity factor condition in the context of f(Q) theory. We have used the Buchdahl model along with the mimic-to-density constraints approach for generating the complexity-free anisotropic solution. The qualitative physical analysis has been done along with the mass-radius relation for different compact objects via M-R curves to validate our solution. It is noticed that the coupling constant beta _1 has a definite impact on constraining the mass and radii of the object that are shown in M-R curves. The obtained results show that the compactness of the objects can be controlled by the coupling parameters.