Title: On the linear and non-linear cosmological evolution of dust density perturbations with MOND.
Abstract: The MOdified Newtonian Dynamics (MOND) model has shown to be a very serious competitor to the standard LCDM cosmological paradigm on the scales of galaxies. The situation is still not so clear in cosmological scales. I will summarize results from my PhD thesis, whose main goal was to test whether MOND can reproduce the success of the standard model in the context of post-recombination cosmological evolution, especially in the non-linear regime. The analysis was refined in many aspects with respect to the very few works present in the literature. Three different conservatives versions of the MOND theory were considered. Furthermore, special effort was put also in the generation of initial conditions for the non-linear simulations. Regarding linear cosmological evolution, a method to solve a particular class of generalized growth equations will be presented. The method does not rely in a particular symmetry and takes into account external and curl field effects, as well as the coupling between different modes.