Decoupling gravitational sources in f(R,T) gravity under class I spacetime

Abstract

We present a simple and effective new methodology to build up self-gravitating structures driven by an imperfect fluid distributions. This approach is developed within the framework of f ( R , T ) gravity theory by combining two geometrical schemes, the gravitational decoupling by means of minimal geometric deformation and the embedding technique, specifically the class I grasp. The former, allows to introduce extra matter fields into the system, modifying the energy–momentum tensor, as well as new degrees of freedom altering the mass function and its associated metric potential, i.e, the g r r component. On the other hand the class I focusing, provides precious and useful mathematical information to determine the full geometrical description of the internal spacetime. Furthermore, to obtain the final form of the modified material content the so-called mimic constraint procedure is employed. To check the mathematical, physical and astrophysical viability of the present proposal, we have framed a detailed discussion on the matching condition process and studied the effects introduced by the mimic constraint approach on the mass function. Finally, to support the feasibility of the results a thorough graphical analysis is performed.