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: Surface charges as
conserved quantities in theories of gravity; Classical and
holographic features of three-dimensional Einstein gravity;
Asymptotically flat spacetimes in four dimensions: BMS group and
memory effects; 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.
General
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