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Advanced Lectures on General Relativity
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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 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.
Forward citations
Cited by 7 Pith papers
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Particle detector in a position-superposed black hole spacetime
An Unruh-DeWitt detector interacting with a position-superposed BTZ black hole produces outcome probabilities containing a nonclassical contribution that distinguishes quantum superposition from classical mixtures, ar...
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The BEF Symplectic Form: A Lagrangian Perspective
The BEF symplectic form is derived from L∞-Lagrangians via covariant phase space methods and coincides with the Barnich-Brandt form for second-order equations of motion.
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The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra
The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
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Conserved charges and $L_\infty$ algebras
A formula for conserved charges expressed solely via L_infinity algebra data for arbitrary Lagrangian theories, shown to recover the Brown-York surface charge in GR.
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Strings near BTZ black holes: A Carrollian Chronicle
The paper classifies families of closed bosonic string solutions in the near-horizon non-extremal BTZ spacetime and identifies novel features via string-Carroll expansion.
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Poincar\'e asymptotic expansion in black hole theory
Reviews principal tensor for variable separation in Petrov-D black hole metrics and derives a Poincaré asymptotic series for radial solutions at spacelike infinity with quasinormal mode application.
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Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
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