Preface Notation, Conventions, and Terminology 1 Introduction and Overview 1.1 The Formulation of Quantum Field Theory in Curved Spacetime 1.2 Classical Black Hole Thermodynamics 1.3 The Hawking Effect and Its Ramifications 2 Quantum Mechanical Preliminaries 2.1 Classical Dynamics of Particle Systems 2.2 Quantum Mechanics 2.3 Harmonic Oscillators 3 Quantum Fields in Flat Spacetime 3.1 Basic Construction 3.2 Reformulation 3.3 Particle Interpretation 4 Quantum Fields in Curved Spacetime 4.1 Curved Spacetimes; Global Hyperbolicity 4.2 Construction of Quantum Field Theory in a Curved Spacetime 4.3 Quantum Field Theory in Stationary Spacetimes 4.4 Unitary Equivalence; the S-Matrix 4.5 The Algebraic Approach 4.6 The Stress-Energy Tensor 4.7 Other Linear Fields 5 The Unruh Effect 5.1 The Unruh Effect in Flat Spacetime 5.2. Killing Horizons 5.3 The Unruh Effect in Curved Spacetimes 6 Classical Black Hole Thermodynamics 6.1 Classical Black Holes and the Area Theorem 6.2 The Laws of Black Hole Mechanics 7 The Hawking Effect 7.1 Particle Creation by Black Holes 7.2 The Generalized Second Law 7.3 Evaporation of Black Holes and Loss of Quantum Coherence Appendix: Some Basic Definitions and Constructions Pertaining Hilbert Spaces A.1 Some Basic Definitions A.2 Some Basic Constructions A.3 Index Notation References Notation Index General Index
[