The Theory of Space, Time and Gravitation

V. Fock

• Publisher: Pergamon
• Year: 2015
• Print ISBN:
  9780080100616
• eBook ISBN:
  9781483184906
• Edition: 2
• Topic: Physical Sciences
• Subtopic: Energy

The Theory of Space, Time, and Gravitation, 2nd Revised Edition focuses on Relativity Theory and Einstein's Theory of Gravitation and correction of the misinterpretation of the Einsteinian Gravitation Theory. The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor. The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory. The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.

Table of contents

• Front Cover
• The Theory of Space, Time and Gravitation
• Copyright Page
• Table of Contents
• TRANSLATOR'S PREFACE
• TRANSLATOR'S PREFACE TO SECOND EDITION
• PREFACE
• PREFACE TO SECOND EDITION
• INTRODUCTION
• CHAPTER I. THE THEORY OF RELATIVITY
• CHAPTER II. THE THEORY OF RELATIVITY IN TENSOR FORM
• CHAPTER III: GENERAL TENSOR ANALYSIS
• CHAPTER IV: A FORMULATION OF RELATIVITY THEORY IN ARBITRARY COORDINATES
• CHAPTER V. THE PRINCIPLES OF THE THEORY OF GRAVITATION
• CHAPTER VI. THE LAW OF GRAVITATION AND THE LAWS OF MOTION
• CHAPTER VII. APPROXIMATE SOLUTIONS, CONSERVATION LAWS AND SOME QUESTIONS OF PRINCIPLE
• CONCLUSION
• APPENDIX A: ON THE DERIVATION OF THE LORENTZ TRANSFORMATIONS
• APPENDIX B: PROOF OF THE UNIQUENESS OF THE ENERGY MOMENTUM TENSOR OF THE ELECTROMAGNETIC FIELD
• APPENDIX C: PROOF OF THE UNIQUENESS OF THE HYDRODYNAMIC MASS TENSOR
• APPENDIX D: THE TRANSFORMATION OF THE EINSTEIN TENSOR
• APPENDIX E: THE CHARACTERISTICS OF THE GENERALIZED D'ALEMBERT EQUATION
• APPENDIX F: INTEGRATION OF THE WAVE FRONT EQUATION
• APPENDIX G: NECESSARY AND SUFFICIENT CONDITIONS FOR THE EUCLIDEAN CHARACTER OF THREE-DIMENSIONAL SPACE
• REFERENCES
• INDEX