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THIRTY-TWO. The Structure of Space According to the General Theory of Relativity
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Chapters in this book
- Frontmatter i
- Contents v
- Preface to the Paperback Edition xiii
- Introduction xvii
- Einstein’s Booklet 7
- Preface 10
-
Part I: The Special Theory of Relativity
- ONE. Physical Meaning of Geometrical Propositions 11
- TWO. The System of Co-ordinates 14
- THREE. Space and Time in Classical Mechanics 18
- FOUR. The Galileian System of Co-ordinates 21
- FIVE. The Principle of Relativity (in the Restricted Sense) 23
- SIX. The Theorem of the Addition of Velocities Employed in Classical Mechanics 27
- SEVEN. The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity 28
- EIGHT. On the Idea of Time in Physics 32
- NINE. The Relativity of Simultaneity 36
- TEN. On the Relativity of the Conception of Distance 39
- ELEVEN. The Lorentz Transformation 41
- TWELVE. The Behaviour of Measuring-Rods and Clocks in Motion 47
- THIRTEEN. Theorem of the Addition of the Velocities. The Experiment of Fizeau 50
- FOURTEEN. The Heuristic Value of the Theory of Relativity 54
- FIFTEEN. General Results of the Theory 56
- SIXTEEN. Experience and the Special Theory of Relativity 62
- SEVENTEEN. Minkowski 's Four-Dimensional Space 68
-
Part II: The General Theory of Relativity
- EIGHTEEN. Special and General Principle of Relativity 72
- NINETEEN. The Gravitational Field 76
- TWENTY. The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity 80
- TWENTY-ONE. In What Respects Are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? 85
- TWENTY-TWO. A Few Inferences from the General Principle of Relativity 88
- TWENTY-THREE. Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference 93
- TWENTY-FOUR. Euclidean and Non-Euclidean Continuum 97
- TWENTY-FIVE .Gaussian Co-ordinates 101
- TWENTY-SIX. The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum 106
- TWENTY-SEVEN. The Space-Time Continuum of the General Theory of Relativity Is Not a Euclidean Continuum 109
- TWENTY-EIGHT. Exact Formulation of the General Principle of Relativity 113
- TWENTY-NINE. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity 117
-
Part III: Considerations on the Universe as a Whole
- THIRTY. Cosmological Difficulties of Newton's Theory 122
- THIRTY-ONE. The Possibility of a "Finite" and Yet "Unbounded" Universe 125
- THIRTY-TWO. The Structure of Space According to the General Theory of Relativity 131
- Appendixes 133
- A Reading Companion 179
- A History and Survey of Foreign-Language Editions 241
- Appended Documents 281
- Further Reading 293
- Index 297
Chapters in this book
- Frontmatter i
- Contents v
- Preface to the Paperback Edition xiii
- Introduction xvii
- Einstein’s Booklet 7
- Preface 10
-
Part I: The Special Theory of Relativity
- ONE. Physical Meaning of Geometrical Propositions 11
- TWO. The System of Co-ordinates 14
- THREE. Space and Time in Classical Mechanics 18
- FOUR. The Galileian System of Co-ordinates 21
- FIVE. The Principle of Relativity (in the Restricted Sense) 23
- SIX. The Theorem of the Addition of Velocities Employed in Classical Mechanics 27
- SEVEN. The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity 28
- EIGHT. On the Idea of Time in Physics 32
- NINE. The Relativity of Simultaneity 36
- TEN. On the Relativity of the Conception of Distance 39
- ELEVEN. The Lorentz Transformation 41
- TWELVE. The Behaviour of Measuring-Rods and Clocks in Motion 47
- THIRTEEN. Theorem of the Addition of the Velocities. The Experiment of Fizeau 50
- FOURTEEN. The Heuristic Value of the Theory of Relativity 54
- FIFTEEN. General Results of the Theory 56
- SIXTEEN. Experience and the Special Theory of Relativity 62
- SEVENTEEN. Minkowski 's Four-Dimensional Space 68
-
Part II: The General Theory of Relativity
- EIGHTEEN. Special and General Principle of Relativity 72
- NINETEEN. The Gravitational Field 76
- TWENTY. The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity 80
- TWENTY-ONE. In What Respects Are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? 85
- TWENTY-TWO. A Few Inferences from the General Principle of Relativity 88
- TWENTY-THREE. Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference 93
- TWENTY-FOUR. Euclidean and Non-Euclidean Continuum 97
- TWENTY-FIVE .Gaussian Co-ordinates 101
- TWENTY-SIX. The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum 106
- TWENTY-SEVEN. The Space-Time Continuum of the General Theory of Relativity Is Not a Euclidean Continuum 109
- TWENTY-EIGHT. Exact Formulation of the General Principle of Relativity 113
- TWENTY-NINE. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity 117
-
Part III: Considerations on the Universe as a Whole
- THIRTY. Cosmological Difficulties of Newton's Theory 122
- THIRTY-ONE. The Possibility of a "Finite" and Yet "Unbounded" Universe 125
- THIRTY-TWO. The Structure of Space According to the General Theory of Relativity 131
- Appendixes 133
- A Reading Companion 179
- A History and Survey of Foreign-Language Editions 241
- Appended Documents 281
- Further Reading 293
- Index 297