Seminarium Teorii Względności i Grawitacji

We present a simple generalisation of the LCDM model which on the one hand reaches very good agreement with the present day experimental data and provides an internal inflationary mechanism on the other hand. It is based on Palatini modified gravity with quadratic Starobinsky term. The modification provides, besides a current accelerated expansion, the epoch of endogenous inflation driven by type III freeze singularity. The dynamics is reduced to the 2D sewn dynamical system of a Newtonian type. For this aim we use dynamical system theory. We classify all evolutionary paths in the model as well as trajectories in the phase space. We demonstrate that the presence of a degenerate freeze singularity (glued freeze type singularities) is a generic feature of early evolution of the Universe.