TALK: Post-Newtonian Theory and Gravitational Waves

ABSTRACT: The gravitational wave detectors LIGO/VIRGO have discovered the signals generated by the coalescence of binary black holes and neutron stars. The theoretical and numerical works on the two-body problem in general relativity play a very important role when analyzing the gravitational wave signals. In this talk, we shall present the state-of-the-art on approximation methods in general relativity, and in particular discuss the latest developments in the famous post-Newtonian approximation.