Appears in collection : Summer School 2014 - Asymptotic Analysis in General Relativity

The Christodoulou­‐Klainerman proof of existence of asymptotically simple space­‐times shows that it is reasonable to consider the scattering of characteristic data for the Einstein field equations from past null infinity to that on future null infinity in a neighbourhood of Minkowski space. In this talk I present new explicit perturbative formulae for this scattering for general data to arbitrary order. Unlike previous such formulae, these new formulae are notchiral, and naturally respect the real structures and may therefore be more amenable to analysis. This is based on joint work with Yvonne Geyer and Arthur Lipstein and with David Skinner.