Black Hole Information and Thermodynamics

D. Lüst is professor for Theoretical Physics at the Ludwig-Maximilian University in Munich (chair Mathematical Physics) and Director of the Max Planck Institute for Physics in Munich. His work focuses on string theory as an attempt to unify General Relativity and Quantum Mechanics, and more specifically on duality symmetries, black holes, models for quantum space-time, string model building and extended theories of gravity. For his work he received the Gottfried Wilhelm Leibniz-Preis of the German-Research-Foundation (DFG) in 2000, as well as an Advanced Research Grant of the European Research Council in the year 2012. Ward Vleeshouwers is currently doing a joint PhD at the universities of Amsterdam and Utrecht on topological condensed matter physics and string theory. In preparation for his master thesis on BMS-symmetries and the black hole S-matrix under supervision of Prof. Gerard 't Hooft, he took a course on black hole thermodynamics during an exchange semester in Munich, which eventually resulted in the writing of this book.

• 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.