Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics Book

	Preface
	Notation, Conventions, and Terminology
1	Introduction and Overview	1
1.1	The Formulation of Quantum Field Theory in Curved Spacetime	1
1.2	Classical Black Hole Thermodynamics	6
1.3	The Hawking Effect and Its Ramifications	8
2	Quantum Mechanical Preliminaries	10
2.1	Classical Dynamics of Particle Systems	10
2.2	Quantum Mechanics	17
2.3	Harmonic Oscillators	21
3	Quantum Fields in Flat Spacetime	31
3.1	Basic Construction	31
3.2	Reformulation	35
3.3	Particle Interpretation	46
4	Quantum Fields in Curved Spacetime	53
4.1	Curved Spacetimes; Global Hyperbolicity	54
4.2	Construction of Quantum Field Theory in a Curved Spacetime	57
4.3	Quantum Field Theory in Stationary Spacetimes	61
4.4	Unitary Equivalence; the S-Matrix	66
4.5	The Algebraic Approach	73
4.6	The Stress-Energy Tensor	85
4.7	Other Linear Fields	100
5	The Unruh Effect	105
5.1	The Unruh Effect in Flat Spacetime	106
5.2	Killing Horizons	118
5.3	The Unruh Effect in Curved Spacetimes	123
6	Classical Black Hole Thermodynamics	133
6.1	Classical Black Holes and the Area Theorem	133
6.2	The Laws of Black Hole Mechanics	139
7	The Hawking Effect	151
7.1	Particle Creation by Black Holes	152
7.2	The Generalized Second Law	163
7.3	Evaporation of Black Holes and Loss of Quantum Coherence	175
	Appendix: Some Basic Definitions and Constructions Pertaining to Hilbert Spaces	188
A.1	Some Basic Definitions	188
A.2	Some Basic Constructions	190
A.3	Index Notation	192
	References	195
	Notation Index	201
	General Index	203