Relativity
The Special and General Theory

Contents

• Preface

Part I: The Special Theory of Relativity

• I. Physical Meaning of Geometrical Propositions
• II. The System of Co-ordinates
• III. Space and Time in Classical Mechanics
• IV. The Galilean System of Co-ordinates
• V. The Principle of Relativity (in the Restricted Sense)
• VI. The Theorem of the Addition of Velocities Employed in Classical Mechanics
• VII. The Apparent Incompatability of the Law of Propagation of Light with the Principle of Relativity
• VIII. On the Idea of Time in Physics
• IX. The Relativity of Simultaneity
• X. On the Relativity of the Conception of Distance
• XI. The Lorentz Transformation
• XII. The Behavior of Measuring-Rods and Clocks in Motion
• XIII. Theorem of the Addition of Velocities. The Experiment of Fizeau
• XIV. The Heuristic Value of the Theory of Relativity
• XV. General Results of the Theory
• XVI. Experience and the Special Theory of Relativity
• XVII. Minkowski's Four-Dimensional Space

Part II: The General Theory of Relativity

• XVIII. Special and General Principle of Relativity
• XIX. The Gravitational Field
• XX. The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity
• XXI. In What Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory?
• XXII. A Few Inferences from the General Principle of Relativity
• XXIII. Behavior of Clocks and Measuring-Rods on a Rotating Body of Reference
• XXIV. Euclidean and Non-Euclidean Continuum
• XXV. Gaussian Co-ordinates
• XXVI. The Space-Time Continuum of the Speical Theory of Relativity Considered as a Euclidean Continuum
• XXVII. The Space-Time Continuum of the General Theory of Relativity is Not a Euclidean Continuum
• XXVIII. Exact Formulation of the General Principle of Relativity
• XXIX. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity

Part III: Considerations on the Universe as a Whole

• XXX. Cosmological Difficulties of Newton's Theory
• XXXI. The Possibility of a "Finite" and yet "Unbounded" Universe
• XXXII. The Structure of Space According to the General Theory of Relativity

Appendices

• Appendix I. Simple Derivation of the Lorentz Transformation [Supplementary to Section XI]
• Appendix II. Minkowski's Four-Dimensional Space ("World") [Supplementary to Section XVII]
• Appendix III. The Experimental Confirmation of the General Theory of Relativity
• Appendix IV. The Structure of Space According to the General Theory of Relativity [Supplementary to Section XXXII.]