Gravitational decoupling minimal geometric deformation model in modified f(R,T) gravity theory

Abstract The present paper is devoted to investigating the possibility of getting stellar interiors for ultra-dense compact spherical systems portraying an anisotropic matter distribution, employing the gravitational decoupling by means of Minimal Geometric Deformation (MGD) procedure within the modified theory of gravity: f ( R , T ) . In this regard, we have considered the algebraic function as f ( R , T ) = R + 2 χ T . The corresponding effective stress–energy tensor is conserved as well as the exact solutions are derived, where χ indicates a coupling constant which incorporates a new gravity aspect in the system. However, the MGD was introduced through a coupling constant α which makes the fluid go beyond to the perfect fluid–structure (i.e. introduce anisotropy). In this connection, we also discussed how both parameters α and χ affect the system. Moreover, the physical quantities associated with the new solutions are well-behaved from the physical and mathematical point of view which are affirmed by performing several physical tests of the main salient features, such pressure, density, dynamical equilibrium, energy conditions, and dynamical stability. We also performed the junction conditions for this chosen linear f ( R , T ) function. On the other hand, we have generated the M − R curves from our solutions in different scenarios, including GR, GR+MGD, f ( R , T ) and f ( R , T ) + MGD, and we found a perfect fit for many compact spherical objects in these scenarios by varying α and χ . The present study reveals that the modified f ( R , T ) gravity through gravitational decoupling by means of MGD method is a suitable theory to explain compact stellar structures.