Relativity The Special And The General Theory
Relativity The Special And The General Theory
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. Behaviour 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 Special 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 I. Simple Derivation of the Lorentz Transformation [Supplementary to Section XI] II. Minkowski's Four-dimensional Space ("World") [Supplementary to Section XVII] III. The Experimental Confirmation of the General Theory of Relativity (a) Motion of the Perihelion of Mercury (b) Deflection of Light by a Gravitational Field (c) Displacement of Spectral Lines
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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. Behaviour 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 Special 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 I. Simple Derivation of the Lorentz Transformation [Supplementary to Section XI] II. Minkowski's Four-dimensional Space ("World") [Supplementary to Section XVII] III. The Experimental Confirmation of the General Theory of Relativity (a) Motion of the Perihelion of Mercury (b) Deflection of Light by a Gravitational Field (c) Displacement of Spectral Lines
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