  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).
