Cosmological implications of gravitational collapse in F(R) theories

We will make a comparison between the dynamics of spherical gravitational collapse for a perturbed FLRW universe to first order in the context of general relativity, with the corresponding results obtained for the gravitational collapse under theories of modified gravity f(R). This work is aimed at obtaining an analytical model of explanation a source of large scale structures in the universe presenting an approximation of model spherical gravitational collapse under theories of modified gravity f(R).