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