Black Hole Information and Thermodynamics

Special relativity.- Riemannian geometry.- Introduction to general relativity.- General relativity.- Einstein's equations.- Black holes.- Kruskal-Szekeres coordinates and geodesics of the Schwarzschild black hole.- Conformal compactifications and Penrose diagrams.- Penrose diagrams of charged & rotating black holes.- Rotating black holes and black hole mechanics.- Black hole mechanics and thermodynamics.- Black hole thermodynamics .- Black holes and entropy.- Hawking and Unruh radiation.- Quantum field theory in curved space-time backgrounds.- Unruh und Hawking effect.- Information loss paradox.- Solitons in String Theory.- Brane solutions.- Dimensional reduction and black holes.- Black holes in string theory from p/D-branes.- Black hole microstate counting.- Asymptotic symmetries in general relativity and black hole hair.- Asymptotic symmetries of 4D space-time geometries.- BMS charges.- The gravitational memory effect.- Current research on BMS-like transformations and charges of black holes.- Quantum hair and quantum black hole vacua.