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Ebook: Advanced Lectures on General Relativity

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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.



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