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Book Description

Table of Contents

- ALBERT EINSTEIN REFERENCE ARCHIVE
- CONTENTS
- Part II: The General Theory of Relativity
- Part III: Considerations on the Universe as a Whole

- Part III: Considerations on the Universe as a Whole
- PREFACE
- PART I
- THE SYSTEM OF CO-ORDINATES
- SPACE AND TIME IN CLASSICAL MECHANICS
- THE GALILEIAN SYSTEM OF CO-ORDINATES
- THE PRINCIPLE OF RELATIVITY (IN THE RESTRICTED SENSE)
- THE THEOREM OF THE ADDITION OF VELOCITIES EMPLOYED IN CLASSICAL MECHANICS
- THE APPARENT INCOMPATIBILITY OF THE LAW OF PROPAGATION OF LIGHT WITH THE PRINCIPLE OF RELATIVITY
- ON THE IDEA OF TIME IN PHYSICS
- THE RELATIVITY OF SIMULATNEITY
- ON THE RELATIVITY OF THE CONCEPTION OF DISTANCE
- THE LORENTZ TRANSFORMATION
- THE BEHAVIOUR OF MEASURING-RODS AND CLOCKS IN MOTION
- THEOREM OF THE ADDITION OF VELOCITIES. THE EXPERIMENT OF FIZEAU
- THE HEURISTIC VALUE OF THE THEORY OF RELATIVITY
- GENERAL RESULTS OF THE THEORY
- EXPERIENCE AND THE SPECIAL THEORY OF RELATIVITY
- MINKOWSKI'S FOUR-DIMENSIONAL SPACE

- Part II: The General Theory of Relativity
- PART II
- SPECIAL AND GENERAL PRINCIPLE OF RELATIVITY
- THE GRAVITATIONAL FIELD

- THE EQUALITY OF INERTIAL AND GRAVITATIONAL MASS AS AN ARGUMENT FOR THE GENERAL POSTULE OF RELATIVITY
- IN WHAT RESPECTS ARE THE FOUNDATIONS OF CLASSICAL MECHANICS AND OF THE SPECIAL THEORY OF RELATIVITY UNSATISFACTORY?
- A FEW INFERENCES FROM THE GENERAL PRINCIPLE OF RELATIVITY
- BEHAVIOUR OF CLOCKS AND MEASURING-RODS ON A ROTATING BODY OF REFERENCE
- EUCLIDEAN AND NON-EUCLIDEAN CONTINUUM
- GAUSSIAN CO-ORDINATES
- THE SPACE-TIME CONTINUUM OF THE SPEICAL THEORY OF RELATIVITY CONSIDERED AS A EUCLIDEAN CONTINUUM
- THE SPACE-TIME CONTINUUM OF THE GENERAL THEORY OF REALTIIVTY IS NOT A ECULIDEAN CONTINUUM
- EXACT FORMULATION OF THE GENERAL PRINCIPLE OF RELATIVITY
- THE SOLUTION OF THE PROBLEM OF GRAVITATION ON THE BASIS OF THE GENERAL PRINCIPLE OF RELATIVITY

- PART III
- COSMOLOGICAL DIFFICULTIES OF NEWTON'S THEORY
- Part from the difficulty discussed in Section 21, there is a second fundamental difficulty attending classical celestial mechanics, which, to the best of my knowledge, was first discussed in detail by the astronomer Seeliger. If we ponder over the question as to how the universe, considered as a whole, is to be regarded, the first answer that suggests itself to us is surely this: As regards space (and time) the universe is infinite. There are stars everywhere, so that the density of matter, although very variable in detail, is nevertheless on the average everywhere the same. In other words: However far we might travel through space, we should find everywhere an attenuated swarm of fixed stars of approrimately the same kind and density.

- Part from the difficulty discussed in Section 21, there is a second fundamental difficulty attending classical celestial mechanics, which, to the best of my knowledge, was first discussed in detail by the astronomer Seeliger. If we ponder over the question as to how the universe, considered as a whole, is to be regarded, the first answer that suggests itself to us is surely this: As regards space (and time) the universe is infinite. There are stars everywhere, so that the density of matter, although very variable in detail, is nevertheless on the average everywhere the same. In other words: However far we might travel through space, we should find everywhere an attenuated swarm of fixed stars of approrimately the same kind and density.
- THE POSSIBILITY OF A "FINITE" AND YET "UNBOUNDED" UNIVERSE
- THE STRUCTURE OF SPACE ACCORDING TO THE GENERAL THEORY OF RELATIVITY
- APPENDIX I
- APPENDIX II
- APPENDIX III
- APPENDIX IV

- COSMOLOGICAL DIFFICULTIES OF NEWTON'S THEORY

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