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Introduction to general relativity /
Introduction to General Relativity is an introductory text on the concepts and modes of calculation used in general relativity. Topics covered range from Newton's laws of motion and the Galilean transformation to tensor analysis, equations of motion of free particles, electromagnetism, and grav...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
[1974]
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| Edición: | [1st ed.]. |
| Colección: | International series of monographs in natural philosophy ;
v. 63. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Introduction to General Relativity; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction; 1.1. Newton's Laws and the Galilean Transformation; 1.2. Electromagnetism and the Galilean Transformation; 1.3. The Lorentz Transformation; 1.4. The World-line Element; 1.5. The Metric Tensor and Physical Law; Chapter 2. Tensor Analysis; 2.1. Coordinate Transformation of Tensors; 2.2. The Metric Tensor; 2.3. Parallel Translation of a Tensor; 2.4. The Covariant Derivative; 2.5. Tensor Products; 2.6. Tensor Densities; 2.7. The Riemann Curvature Tensor.
- 2.8. The Bianchi Identities and Einstein's Tensor2.9. Calculation of a Curvature: Example; Chapter 3. Equations of Motion of Free Particles; 3.1. The Equation of the Geodesic Lines; 3.2. The Generation of Christoffel Symbols from the Euler Equations of the Geodesic Theorem; 3.3. Gravitational Potentials and Fields; 3.4. Differential Equations of the Metric Tensor in Empty Space; 3.5. Field Equations in the Presence of Matter; 3.6. The Matter-Energy Tensor; 3.7. Deviation of Geodesic Lines in a Space with Curvature; 3.8. Tangent Flat Spaces; Chapter 4. Solutions of the Field Equations.
- 4.1. The Static Spherically Symmetric Gravitation Field4.2. The Schwarzschild Metric; 4.3. Precession of Orbital Perihelion; 4.4. Deflection of Light Rays in a Gravitational Field; 4.5. Gravitational Red Shift of Spectral Lines; 4.6. Application of the Centrosymmetric Metric in Non-empty Space; 4.7. DeSitter's Cosmological Metric; 4.8. Field of a Charged Mass Point; Chapter 5. Electromagnetism in General Relativity; 5.1. The Electromagnetic Potential and Four-current; 5.2. The Tensor of Electromagnetic Fields and the Field Equations; 5.3. The Electromagnetic Energy Tensor.
- 5.4. Transformation of Fields: Inertial Frames5.5. Transformation of the Field Equations: Non-inertial Frame; Chapter 6. Gravitat~onal Fields and Waves; 6.1. Space and Time Measurements in Non-inertial Frames; 6.1 a. Spatial Line Element of a General Metric; 6.2. The Schwarzschild Gravitational Field; 6.3. Gravitational Waves; Chapter 7. Relcitivity in Cosmology; 7.1. Metric Tensor of the Universe: the Robertson- Walker Metric; 7.2. The Time-dependent Scale of the Universe; 7.3. The Steady State Universe; 7.4. Non-expanding Model of the Universe: the Goedel Metric.
- Chapter 8. Unified Theories and Quantized Theories of General Relcitivity8.1. Unified Field Theories; 8.2. ""Already Unified"" Field Theory; 8.3. Quantization of the Gravitational Field; Chapter 9. Minkowski's Coordinates and Orthogonal Transformations; 9.1. Orthogonal Lorentz Transformations; 9.2. World-line Four-vectors; 9.3. Forces and Momenta in Three and Four Dimensions; 9.4. Relativistic Energy of a Free Particle in an Inertial Frame; 9.5. Electromagnetism in the Minkowski Frame; 9.6. The Wave Propagation Vector; Appendix I: Numerical Data and Physical Constants; Appendix II.