Advanced Lectures on General Relativity
Geoffrey Comp\`ere, Adrien Fiorucci
TL;DR
This collection of advanced lecture notes covers key topics in general relativity, including conserved charges, holography, asymptotic symmetries, and black hole properties, aimed at PhD students with foundational knowledge.
Contribution
It provides a comprehensive overview of modern research directions in general relativity, integrating historical context with current developments.
Findings
Surface charges as conserved quantities in gravity
Holographic features of 3D Einstein gravity
BMS group and memory effects in flat spacetimes
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.
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