Fundamental Principles of General Relativity Theories [E-Book] : Local and Global Aspects of Gravitation and Cosmology / by Hans-Jürgen Treder, Horst-Heino von Borzeszkowski, Alwyn van der Merwe, Wolfgang Yourgrau.
The present monograph is not a self-contained introductory text. Instead it presupposes to a large extent that the reader is not only thoroughly familiar with the special theory of relativity, but that he or she has studied the standard aspects of the general theory, as weIl. Starting from local and...
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Full text |
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Personal Name(s): | Treder, Hans-Jürgen, author |
Borzeszkowski, Horst-Heino von, author / Merwe, Alwyn van der, author / Yourgrau, Wolfgang, author | |
Imprint: |
Boston, MA :
Springer,
1980
|
Physical Description: |
216 p. online resource. |
Note: |
englisch |
ISBN: |
9781475708486 |
DOI: |
10.1007/978-1-4757-0848-6 |
Subject (LOC): |
- 1. Local Principles and the Theory of Gravitation
- 2. Intermezzo: The Einstein Effects
- 3. Global Principles and the Theory of Gravitation
- Appendix A. Formalism of Four-Dimensional Spaces
- A.1. Differentiable Manifolds
- A.2. Metric Space
- A.3. Contravariance and Covariance
- A.4. The Affine Connection
- A.5. Integrability, Torsion, and Curvature
- A.6. Transition from Covariance to Contravariance, and Conversely, in Metric Space
- A.8. Absolute Differential and Covariant Differentiation
- A.9. Parallel Displacement or Transport
- A.10. Symmetry and Other Properties of Torsion and Various Curvatures
- A.11. Classification of Metric Types
- A.11.1. Classification from the Integrability Point of View
- A.11.2. Classification from the Affine Connection
- Appendix B. General Relativity Principle and General Lorentz Covariance
- B.1. Lorentz-Covariant Derivatives
- B.2. Spinor Calculus
- References
- Author Index.