Seminar

In recent years, there has been a resurgence in interest in the relationship between Newtonian gravity and General Relativity on cosmological scales, which is motivated by questions surrounding the physical interpretation of large scale cosmological simulations using Newtonian gravity and the role of Newtonian gravity in cosmological averaging. The overriding fundamental question is in what sense, if any, does Newtonian gravity provide an approximation to General Relativity on a cosmological scale. In this talk, I will describe a wide class of inhomogeneous relativistic solutions that are well approximated on cosmological scales by solutions of Newtonian gravity. The initial value formulation for these solutions will be presented and I will outline the estimates that lead to existence and guarantee convergence to solutions of Newtonian gravity.