English

Advanced Lectures on General Relativity

High Energy Physics - Theory 2019-02-12 v4 General Relativity and Quantum Cosmology

Abstract

These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The 4 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 4 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.

Keywords

Cite

@article{arxiv.1801.07064,
  title  = {Advanced Lectures on General Relativity},
  author = {Geoffrey Compère and Adrien Fiorucci},
  journal= {arXiv preprint arXiv:1801.07064},
  year   = {2019}
}

Comments

125 pages. Lectures given at the Amsterdam-Brussels-Geneva-Paris doctoral school, 2017 and 2018. v4: published version with original layout. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-04260-8

R2 v1 2026-06-22T23:51:48.829Z