Preface Part 1: Black Holes and Quantum Mechanics 1. The Schwarzschild Black Hole 1.1 Schwarzschild Coordinates 1.2 Tortoise Coordinates 1.3 Near Horizon Coordinates (Rindler space) 1.4 Kruskal-Szekeres Coordinates 1.5 Penrose Diagrams 1.6 Formation of a Black Hole 1.7 Fidos and Frefos and the Equivalence Principle 2. Scalar Wave Equation in a Schwarzschild Background 2.1 Near the Horizon 3. Quantum Fields in Rindler Space 3.1 Classical Fields 3.2 Entanglement 3.3 Review of the Density Matrix 3.4 The Unruh Density Matrix 3.5 Proper Temperature 4. Entropy of the Free Quantum Field in Rindler Space 4.1 Black Hole Evaporation 5. Thermodynamics of Black Holes 6. Charged Black Holes 7. The Stretched Horizon 8. The Laws of Nature 8.1 Information Conservation 8.2 Entanglement Entropy 8.3 Equivalence Principle 8.4 Quantum Xerox Principle 9. The Puzzle of Information Conservation in Black Hole Environments 9.1 A Brick Wall? 9.2 Black Hole Complementarity 9.3 Baryon Number Violation 10. Horizons and the UV/IR Connection Part 2: Entropy Bounds and Holography 11. Entropy Bounds 11.1 Maximum Entropy 11.2 Entropy on Light-like Surfaces 11.3 Friedman-Robertson-Walker Geometry 11.4 Bousso's Generalization 11.5 de Sitter Cosmology 11.6 Anti de Sitter Space 12. The Holographic Principle and Anti de Sitter Space 12.1 The Holographic Principle 12.2 AdS Space 12.3 Holography in AdS Space 12.4 The AdS/CFT Correspondence 12.5 The Infrared Ultraviolet Connection 12.6 Counting Degrees of Freedom 13. Black Holes in a Box 13.1 The Horizon
13.2 Information and the AdS Black Hole Part 3: Black Holes and Strings 14. Strings 14.1 Light Cone Quantum Mechanics 14.2 Light Cone String Theory 14.3 Interactions 14.4 Longitudinal Motion 15. Entropy of Strings and Black Holes Conclusions Bibliography Index
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