Abstracts

Marek Szydlowski

Polynomial f(R) Palatini cosmology - dynamical system approach

We investigate cosmological dynamics based on f(R) gravity in the Palatini formulation. In this study we use the dynamical systems methods. We show that the evolution of the Friedmann equation reduces to the form of the piecewise smooth dynamical system. We demonstrate how the trajectories can be sewn to guarantee C^0 inextendibility of the metric. We point out that importance of dynamical system of Newtonian type with non-smooth right-hand sides in the context of Palatini cosmology. In this framework we can investigate naturally singularities which appear in the past and future of cosmic evolution.