Present work proposes some new solutions representing compact stellar objects in the framework of a recently developed extended gravity yielding direct/indirect interaction of spacetime curvature and matter namely Formula: see text theory. This theory has grabbed a considerable attention of modern researchers due to its interesting features. To this end, we utilize the formalism of minimal geometric deformation along with gravitational decoupling approach and propose a generalized anisotropic version of the well-known isotropic Durgapal-Fuloria solution. In this context, we find two promising classes of solutions by taking two well-motivated constraints on complexity factor into account, i.e., vanishing complexity factor (Formula: see text) and identical complexity factors (Formula: see text). The complexity factor, obtained through the orthogonal splitting of the Riemann tensor, acts as an essential tool in characterization of internal structure of anisotropic stellar configurations as well as in explaining their self-gravitating dynamical behavior. In order to explore the physical implications of the proposed solutions, we consider the precise observational measurements of mass and radius for the millisecond pulsar PSR J0740+6620, as reported by the NICER and XMM-Newton collaborations. A comprehensive graphical analysis is performed by exploring the stability criteria through causal sound speeds, behavior of radial profiles of energy density and anisotropic pressures. We also provide possible parameter spaces which guarantee thermodynamical consistency in form of tables. blueFurther, we discuss the variations in M-R curves for a compact star PSR J0740+6620 by assuming different significant choices of coupling parameters for all proposed models. It is concluded that presented models satisfy energy bounds, and exhibit stable behavior. We also highlight the role of parameters Formula: see text and Formula: see text yielding the curvature and matter coupling in the interior of high density compact star.
Zubair et al. (Fri,) studied this question.