LEARNING OUTCOMES
You will learn the physical and mathematical structure of the theory of general relativity.
You will learn how to do calculations in general relativity, including with black holes, linear perturbation theory, gravitational waves and a little bit also in cosmology.
CONTENT
Chapter 1: action formulation of general relativity
Chapter 2: global structure of the Schwarzschild solution, black holes, Penrose diagram, brief overview of charged and rotating black holes and Hawking radiation
Chapter 3: perturbation theory around Minkowski space, gauge transformations, gravitomagnetism, gravitational waves, generation of gravitational waves by a binary system, energy loss due to emission of gravitational waves
Chapter 4: Killing vectors, symmetric spacetimes, FLRW spacetime, de Sitter space, anti-de Sitter space, Penrose diagrams
