Relativity: The Special and General Theory

About this book

Relativity: The Special and General Theory by Albert Einstein.

Contents

• Relativity: The Special and General Theory5
• Authorised Translation by Robert W. Lawson6
• PREFACE9
• PART I: THE SPECIAL THEORY OF RELATIVITY10
• I. PHYSICAL MEANING OF GEOMETRICAL PROPOSITIONS11
• II. THE SYSTEM OF CO-ORDINATES13
• III. SPACE AND TIME IN CLASSICAL MECHANICS16
• IV. THE GALILEIAN SYSTEM OF CO-ORDINATES18
• V. THE PRINCIPLE OF RELATIVITY (IN THE RESTRICTED SENSE)19
• VI. THE THEOREM OF THE ADDITION OF VELOCITIES EMPLOYED IN CLASSICAL MECHANICS22
• VII. THE APPARENT INCOMPATIBILITY OF THE LAW OF PROPAGATION OF LIGHT WITH THE PRINCIPLE OF RELATIVITY23
• VIII. ON THE IDEA OF TIME IN PHYSICS26
• IX. THE RELATIVITY OF SIMULTANEITY29
• X. ON THE RELATIVITY OF THE CONCEPTION OF DISTANCE31
• XI. THE LORENTZ TRANSFORMATION33
• XII. THE BEHAVIOUR OF MEASURING-RODS AND CLOCKS IN MOTION37
• XIII. THEOREM OF THE ADDITION OF VELOCITIES. THE EXPERIMENT OF FIZEAU40
• XIV. THE HEURISTIC VALUE OF THE THEORY OF RELATIVITY44
• XV. GENERAL RESULTS OF THE THEORY45
• XVI. EXPERIENCE AND THE SPECIAL THEORY OF RELATIVITY50
• XVII. MINKOWSKI’S FOUR-DIMENSIONAL SPACE54
• PART II: THE GENERAL THEORY OF RELATIVITY57
• XVIII. SPECIAL AND GENERAL PRINCIPLE OF RELATIVITY58
• XIX. THE GRAVITATIONAL FIELD61
• XX. THE EQUALITY OF INERTIAL AND GRAVITATIONAL MASS AS AN ARGUMENT FOR THE GENERAL POSTULATE OF RELATIVITY63
• XXI. IN WHAT RESPECTS ARE THE FOUNDATIONS OF CLASSICAL MECHANICS AND OF THE SPECIAL THEORY OF RELATIVITY UNSATISFACTORY?67
• XXII. A FEW INFERENCES FROM THE GENERAL PRINCIPLE OF RELATIVITY69
• XXIII. BEHAVIOUR OF CLOCKS AND MEASURING-RODS ON A ROTATING BODY OF REFERENCE72
• XXIV. EUCLIDEAN AND NON-EUCLIDEAN CONTINUUM75
• XXV. GAUSSIAN CO-ORDINATES78
• XXVI. THE SPACE-TIME CONTINUUM OF THE SPECIAL THEORY OF RELATIVITY CONSIDERED AS A EUCLIDEAN CONTINUUM81
• XXVII. THE SPACE-TIME CONTINUUM OF THE GENERAL THEORY OF RELATIVITY IS NOT A EUCLIDEAN CONTINUUM83
• XXVIII. EXACT FORMULATION OF THE GENERAL PRINCIPLE OF RELATIVITY86
• XXIX. THE SOLUTION OF THE PROBLEM OF GRAVITATION ON THE BASIS OF THE GENERAL PRINCIPLE OF RELATIVITY89
• PART III: CONSIDERATIONS ON THE UNIVERSE AS A WHOLE93
• XXX. COSMOLOGICAL DIFFICULTIES OF NEWTON’S THEORY94
• XXXI. THE POSSIBILITY OF A “FINITE” AND YET “UNBOUNDED” UNIVERSE96
• XXXII. THE STRUCTURE OF SPACE ACCORDING TO THE GENERAL THEORY OF RELATIVITY100
• APPENDICES102
• APPENDIX I SIMPLE DERIVATION OF THE LORENTZ TRANSFORMATION (SUPPLEMENTARY TO SECTION XI)103
• APPENDIX II MINKOWSKI’S FOUR-DIMENSIONAL SPACE (“WORLD”) (SUPPLEMENTARY TO SECTION XVII)109
• APPENDIX III THE EXPERIMENTAL CONFIRMATION OF THE GENERAL THEORY OF RELATIVITY111
• (a) Motion of the Perihelion of Mercury112
• (b) Deflection of Light by a Gravitational Field113
• (c) Displacement of Spectral Lines Towards the Red116
• APPENDIX IV THE STRUCTURE OF SPACE ACCORDING TO THE GENERAL THEORY OF RELATIVITY (SUPPLEMENTARY TO SECTION XXXII)119
• THE FULL PROJECT GUTENBERG LICENSE122

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