Gravitational Waves in Full, Non-Linear General Relativity
  These notes provide a student-friendly introduction to the theory of
gravitational waves in full, non-linear general relativity (GR). We aim for a
balance between physical intuition and mathematical rigor and cover topics such
as the Newman-Penrose formalism, electromagnetic waves, asymptotically
Minkowski spacetimes, the peeling theorem, the universal structure of null
infinity, the Bondi-Metzner-Sachs group, and the definition of radiative modes
in linear as well as in non-linear GR. Many exercises and some explicitly
calculated examples complement the abstract theory and are designed to help
students build up their intuition and see the mathematical machinery at work.
