Cosmological solutions through gravitational decoupling in $$f({\mathcal {R}},{\mathcal {T}},{\mathcal {R}}_{\textrm{ab}}{\mathcal {T}}^{\textrm{ab}})$$ gravity

In this paper, we adopt minimal gravitational decoupling scheme to extend a non-static spherically symmetric isotropic composition anisotropic interior in $$f({\mathcal {R}},{\mathcal {T}},{\mathcal {R}}_{\textrm{ab}}{\mathcal {T}}^{\textrm{ab}})$$ theory. A geometric deformation is applied only on $$g_{rr}$$ metric component through which the modified field equations are separated into two sets, each of them correspond their parent (seed and newly added) source. An model suggested by Friedmann–Lemaitre–Robertson–Walker adopted reduce unknowns first set. We then obtain an solution making use linear equation state particular form scale factor. density-like constraint chosen solve other sector containing function multiple components additional matter Further, graphical interpretation developed carried out analyze how parameter gravity influence evolutionary phases universe. It concluded that radiation-dominated era meets stability criteria everywhere matter-geometry coupled