Cosmographic Reconstruction to Discriminate Between Modified Gravity and Dark Energy

Cosmography represents a model-independent approach potentially useful to discriminate among concurring cosmological scenarios. After reviewing the main features and shortcomings of standard cosmography, we highlight how to overcome the convergence issue jeopardizing current low redshift-cosmographic distances. To do so, we give particular attention to the use of cosmographic rational approximations, among them the Padé and Chebyshev polynomials. We thus focus on dark energy models and concurring extended and modified gravity models, in view of present cosmographic findings. We stress that current (and above all) future cosmographic constraints will be able to disentangle dark energy from alternative gravity, showing which model can be effectively reliable to describe the today observed accelerating universe.