Cosmology in f(R,Lm,T) gravity theory using gravitational decoupling

This article considers the existing isotropic dynamical spherically symmetric solution and extends its domain through a recently proposed scheme, refers to the decoupling of gravitational sources within the framework of Lagrangian-based gravity model. After adding an additional fluid distribution into the seed perfect matter, the minimal geometric deformation approach is implemented that leads to a couple of distinct sets of field equations. Since we aim to discuss different phases of cosmic evolution, the first set is handled by considering the flat FLRW model along with a particular form of the scale factor. We also employ a barotropic equation of state which helps in achieving our goal. As the second set is concerned, a density-like constraint is adopted to make the system uniquely solvable. After doing so, we combine the solutions of field equations characterizing both fluid setups using some particular relations. A detailed graphical discussion on the impact of the decoupling and the considered model parameters is also carried out. Finally, we conclude that the modified theory under consideration supports two evolutionary phases such as the radiation and matter-dominated epochs.