On the Nonrelativistic Expansion of GR

In this talk  Dr. Jelle Hartong (School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, United Kingdom) will review the covariant 1/c expansion of GR where c is the speed of light. When expanding the Einstein equations and assuming the weak field approximation this leads to Newtonian gravity at leading order and to post-Newtonian corrections at higher orders in 1/c. However, one does not need to assume weak fields and this leads to a novel regime of strong nonrelativistic gravity. I will discuss how the covariant 1/c expansion can be used to revive the classical approach to the study of post-Newtonian corrections and how they are useful for the study of quantum systems in fixed gravitational backgrounds.