Reconstructing the distortion function of non-local cosmology: a model-independent approach

Understand

We consider non-local modifications of General Relativity given by a distortion function in terms of the inverse of the d'Alembert operator.

• The inclusion of these terms is motivated by the possibility of reproducing the current accelerated expansion of the Universe starting from non-local gravity.
• In particular, we propose a model-independent method, based on current observations, to reconstruct the shape of the distortion function, without resorting to a specific cosmological history.
• We describe a numerical procedure based on Pad\'e polynomials that allows us to study the time evolution of the auxiliary scalar fields introduced to localize non-local gravity action.