Non-Relativistic Gravity: 1/c Expansion of General Relativity

Explore the intricacies of non-relativistic gravity in this comprehensive lecture by Jelle Hartong from Edinburgh University. Delve into the 1/c expansion of general relativity, examining its implications at various orders. Discover how this approach leads to Newton-Cartan gravity and its generalizations at lower orders, while matching with post-Newtonian expansion used in gravitational wave physics at higher orders and weak fields. Investigate the application of the 1/c expansion in studying quantum mechanical systems within fixed gravitational backgrounds. Finally, learn how the addition of a negative cosmological constant allows non-relativistic gravity to mimic the fluid/gravity correspondence for Galilean fluids on the boundary of a non-relativistic version of AdS spacetime.