TY - GEN AU - Susskind, Leonard AU - Lindesay, James TI - Introduction to Black holes information and the string theory revolution : the Holographic Universe SN - 9789812561312 U1 - 523.8875 PY - 2010/// CY - London PB - World Scientific Publishing Co. Pvt. Ltd. KW - House construction KW - Black holes (Astronomy) KW - String models N1 - Contents Preface vii Part 1: Black Holes and Quantum Mechanics 1 1. The Schwarzschild Black Hole 3 1.1 Schwarzschild Coordinates 3 1.2 Tortoise Coordinates 7 1.3 Near Horizon Coordinates (Rindler space) 8 1.4 Kruskal-Szekeres Coordinates 10 1.5 Penrose Diagrams 14 1.6 Formation of a Black Hole 15 1.7 Fidos and Frefos and the Equivalence Principle 21 2. Scalar Wave Equation in a Schwarzschild Background 25 2.1 Near the Horizon 28 3. Quantum Fields in Rindler Space 31 3.1 Classical Fields 31 3.2 Entanglement 32 3.3 Review of the Density Matrix 34 3.4 The Unruh Density Matrix 36 3.5 Proper Temperature 39 4. Entropy of the Free Quantum Field in Rindler Space 43 4.1 Black Hole Evaporation 48 5. Thermodynamics of Black Holes 51 6. Charged Black Holes 55 7. The Stretched Horizon 61 8. The Laws of Nature 69 8.1 Information Conservation 69 8.2 Entanglement Entropy 71 8.3 Equivalence Principle 77 8.4 Quantum Xerox Principle 79 9. The Puzzle of Information Conservation in Black Hole Environments 81 9.1 A Brick Wall? 84 9.2 Black Hole Complementarity 85 9.3 Baryon Number Violation 89 10. Horizons and the UV/IR Connection 95 Part 2: Entropy Bounds and Holography 99 11. Entropy Bounds 101 11.1 Maximum Entropy 101 11.2 Entropy on Light-like Surfaces 105 11.3 Friedman-Robertson-Walker Geometry 110 11.4 Bousso's Generalization 114 11.5 de Sitter Cosmology 119 11.6 Anti de Sitter Space 123 12. The Holographic Principle and Anti de Sitter Space 127 12.1 The Holographic Principle 127 12.2 AdS Space 128 12.3 Holography in AdS Space 130 12.4 The AdS/CFT Correspondence 133 12.5 The Infrared Ultraviolet Connection 135 12.6 Counting Degrees of Freedom 138 13. Black Holes in a Box 141 13.1 The Horizon 144 13.2 Information and the AdS Black Hole 144 Part 3: Black Holes and Strings 149 14. Strings 151 14.1 Light Cone Quantum Mechanics 153 14.2 Light Cone String Theory 156 14.3 Interactions 159 14.4 Longitudinal Motion 161 15. Entropy of Strings and Black Holes 165 Conclusions 175 Bibliography 179 Index 181 ER -