Advanced Lectures on General Relativity

(Lecture Notes in Physics) 1st ed. 2019 edition  

by Geoffrey Compère (Author) 

These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are:

1. Surface charges as conserved quantities in theories of gravity;
   
2. Classical and holographic features of three-dimensional Einstein gravity;
   
3.  Asymptotically flat spacetimes in four dimensions: BMS group and memory effects;
   
4. The Kerr black hole: properties at extremality and quasi-normal mode ringing.
   

Each topic starts with historical foundations and points to a few modern research directions.