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The theory of space, time, and gravitation /
The Theory of Space, Time and Gravitation.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1966.
|
| Edición: | 2d revised edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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; 1. Coordinates of Space and Time; 2. The Position of a Body in Space at a given Instant, in a Fixed Reference Frame; 3. The Law of Propagation of an Electromagnetic Wave Front; 4. Equations for Rays; 5. Inertial Frames of Reference; 6. The Basic Postulates of the Theory of Relativity; 7. The Galileo Transformations and the Need to Generalize Them.
- 8. Proof of the Linearity of the Transformation Linking Two Inertial Frames9. Determination of the Coefficients of the Linear Transformations and of a Scale Factor; 10. Lorentz Transformations; 11. Determination of Distances and Synchronization of Clocks within One Inertial Reference Frame; 12. Time Sequence of Events in Different Reference Frames; 13. Comparison of Time Differences in Moving Reference Frames. The Doppler Effect; 14. Comparison of Clock Readings in Moving Reference Frames; 15. Comparison of Distances and Lengths in Moving Reference Frames; 16. Relative Velocity.
- 17. The Lobachevsky-Einstein Velocity SpaceCHAPTER II. THE THEORY OF RELATIVITY IN TENSOR FORM; 18. Some Remarks on the Covariance of Equations; 19. Definition of a Tensor in Three Dimensions and some Remarks on Covariant Quantities; 20. Definition of a Four-Dimensional Vector; 21. Four-Dimensional Tensors; 22. Pseudo-Tensors; 23. Infinitesimal Lorentz Transformations; 24. The Transformation Laws for the Electromagnetic Field and the Covariance of Maxwell's Equations; 25. The Motion of a Charged Mass-Point in a given External Field.
- 26. Approximate Description of a System of Moving Point Charges27. Derivation of the Conservation Laws in the Mechanics of Point Systems; 28. The Tensor Character of the Integrals of Motion; 29. A Remark on the Conventional Formulation of the Conservation Laws; 30. The Vector of Energy Current (Umov's Vector).; 31. The Mass Tensor; 32. Examples of the Mass Tensor; 33. The Energy Tensor of the Electromagnetic Field; 34. Mass and Energy; CHAPTER III: GENERAL TENSOR ANALYSIS; 35. Permissible Transformations for Space and Time Coordinates; 36. General Tensor Analysis and Generalized Geometry.
- 37. The Definitions of a Vector and of a Tensor. Tensor Algebra38. The Equation of a Geodesic; 39. Parallel Transport of a Vector; 40. Covariant Differentiation; 41. Examples of Covariant Differentiation; 42. The Transformation Law for Christoffel Symbols and the Locally Geodesic Coordinate System. Conditions for transforming ds2 to a Form with Constant Coefficients; 43. The Curvature Tensor; 44. The Basic Properties of the Curvature Tensor; CHAPTER IV: A FORMULATION OF RELATIVITY THEORY IN ARBITRARY COORDINATES; 45. Properties of Space-Time and Choice of Coordinates.