Fundamental Principles of General Relativity Theories: Local and Global Aspects of Gravitation and Cosmology - Couverture souple
Synopsis
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.
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