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Tables of Contents for Feynman Lectures Gravitation
Chapter/Section Title
Page #
Page Count
Foreword
vii
Quantum Gravity
xxxi
Lecture 1
1
16
A Field Approach to Gravitation
1
2
The Characteristics of Gravitational Phenomena
3
7
Quantum Effects in Gravitation
10
1
On the Philosophical Problems in Quantizing Macroscopic Objects
11
4
Gravitation as a Consequence of Other Fields
15
2
Lecture 2
17
12
Postulates of Statistical Mechanics
17
5
Difficulties of Speculative Theories
22
1
The Exchange of One Neutrino
23
2
The Exchange of Two Neutrinos
25
4
Lecture 3
29
18
The Spin of the Graviton
29
2
Amplitudes and Polarizations in Electrotiynamics, Our Typical Field Theory
31
4
Amplitudes for Exchange of a Graviton
35
3
Physical Interpretation of the Terms in the Amplitudes
38
4
The Lagrangian for the Gravitational Field
42
1
The Equations for the Gravitational Field
43
1
Definition of Symbols
44
3
Lecture 4
47
16
The Connection Between the Tensor Rank and the Sign of a Field
47
2
The Stress-Energy Tensor for Scalar Matter
49
1
Amplitudes for Scattering (Scalar Theory)
50
2
Detailed Properties of Plane Waves. Compton Effect
52
2
Nonlinear Diagrams for Gravitons
54
2
The Classical Equations of Motion of a Gravitating Particle
56
3
Orbital Motion of a Particle About a Star
59
4
Lecture 5
63
14
Planetary Orbits and the Precession of Mercury
63
3
Time Dilation in a Gravitational Field
66
3
Cosmological Effects of the Time Dilation. Mach's Principle
69
2
Mach's Principle in Quantum Mechanics
71
3
The Self Energy of the Gravitational Field
74
3
Lecture 6
77
12
The Bilinear Terms of the Stress-Energy Tensor
77
4
Formulation of a Theory Correct to All Orders
81
1
The Construction of Invariants with Respect to Infinitesimal Transformations
82
3
The Lagrangian of the Theory Correct to All Orders
85
2
The Einstein Equation for the Stress-Energy Tensor
87
2
Lecture 7
89
18
The Principle of Equivalence
89
4
Some Consequences of the Principle of Equivalence
93
2
Maximum Clock Rates in Gravity Fields
95
2
The Proper Time in General Coordinates
97
2
The Geometrical Interpretation of the Metric Tensor
99
2
Curvatures in Two and Four Dimensions
101
2
The Number of Quantities Invariant under General Transformations
103
4
Lecture 8
107
16
Transformations of Tensor Components in Nonorthogonal Coordinates
107
3
The Equations to Determine Invariants of gμν
110
2
On the Assumption that Space Is Truly Flat
112
1
On the Relations Between Different Approaches to Gravity Theory
113
2
The Curvatures as Referred to Tangent Spaces
115
3
The Curvatures Referred to Arbitrary Coordinates
118
2
Properties of the Grand Curvature Tensor
120
3
Lecture 9
123
12
Modifications of Electrodynamics Required by the Principle of Equivalence
123
1
Covariant Derivatives of Tensors
124
3
Parallel Displacement of a Vector
127
5
The Connection Between Curvatures and Matter
132
3
Lecture 10
135
16
The Field Equations of Gravity
135
5
The Action for Classical Particles in a Gravitational Field
140
3
The Action for Matter Fields in a Gravitational Field
143
8
Lecture 11
151
12
The Curvature in the Vicinity of a Spherical Star
151
2
On the Connection Between Matter and the Curvatures
153
1
The Schwarzschild Metric, the Field Outside a Spherical Star
154
2
The Schwarzschild Singularity
156
3
Speculations on the Wormhole Concept
159
2
Problems for Theoretical Investigations of the Wormholes
161
2
Lecture 12
163
14
Problems of Cosmology
163
3
Assumptions Leading to Cosmological Models
166
3
The Interpretation of the Cosmological Metric
169
2
The Measurements of Cosmological Distances
171
2
On the Characteristics of a Bounded or Open Universe
173
4
Lecture 13
177
12
On the Role of the Density of the Universe in Cosmology
177
3
On the Possibility of a Nonuniform and Nonspherical Universe
180
1
Disappearing Galaxies and Energy Conservation
181
3
Mach's Principle and Boundary Conditions
184
2
Mysteries in the Heavens
186
3
Lecture 14
189
10
The Problem of Superstars in General Relativity
189
3
The Significance of Solutions and their Parameters
192
2
Some Numerical Results
194
2
Projects and Conjectures for Future Investigations of Superstars
196
3
Lecture 15
199
8
The Physical Topology of the Schwarzschild Solutions
199
2
Particle Orbits in a Schwarzschild Field
201
1
On the Future of Geometrodynamics
202
5
Lecture 16
207
14
The Coupling Between Matter Fields and Gravity
207
4
Completion of the Theory: A Simple Example of Gravitational Radiation
211
1
Radiation of Gravitons with Particle Decays
212
3
Radiation of Gravitons with Particle Scattering
215
3
The Sources of Classical Gravitational Waves
218
3
Bibliography
221
8
Index
229