Uma perspectiva numérica para a evolução do contraste de densidade em modelos cosmológicos intrinsecamente homogêneos e isotrópicos

Abstract

The standard model of Cosmology, often called ΛCDM, is not able to explain some of the recent observational results. In this context, it becomes necessary to seek new approaches that are able to explain the dynamics of the Universe. Thus, we will numerically study a cosmological model with homogeneous and isotropic expansion through its Einstein equations, which in this case is expressed in a partial differential equation (PDE) of the nonlinear diffusion type. In particular, we will examine the temporal evolution of the density contrast, which provides us with important information about the evolution of inhomogeneities of the cosmological fluid.