General relativistic corrections and non-Gaussianity in large scale
  structure
  General relativistic cosmology cannot be reduced to linear relativistic
perturbations superposed on an isotropic and homogeneous
(Friedmann-Robertson-Walker) background, even though such a simple scheme has
been successfully applied to analyse a large variety of phenomena (such as
Cosmic Microwave Background primary anisotropies, matter clustering on large
scales, weak gravitational lensing, etc.). The general idea of going beyond
this simple paradigm is what characterises most of the efforts made in recent
years: the study of second and higher-order cosmological perturbations
including all general relativistic contributions -- also in connection with
primordial non-Gaussianities -- the idea of defining large-scale structure
observables directly from a general relativistic perspective, the various
attempts to go beyond the Newtonian approximation in the study of non-linear
gravitational dynamics, by using e.g., Post-Newtonian treatments, are all
examples of this general trend. Here we summarise some of these directions of
investigation, with the aim of emphasising future prospects in this area of
cosmology, both from a theoretical and observational point of view.
