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Gravitation and spacetime /
This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Edición: | 3rd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Constants; Fundamental constants; Conversion constants; Astronomical constants; Notation; 1 Newton's gravitational theory; 1.1 The law of universal gravitation; 1.2 Tests of the inverse-square law; 1.3 Gravitational potential; 1.4 Gravitational multipoles; quadrupole moment of the Sun; 1.5 Inertial and gravitational mass; 1.6 Tests of equality of gravitational and inertial mass; 1.7 Tidal forces; 1.8 Tidal field as a local measure of gravitation; Problems; 2 The formalism of special relativity; 2.1 The spacetime of special relativity; 2.2 Tensors in spacetime.
- 2.3 Tensor fields2.4 Energy-momentum tensor; 2.5 Relativistic electrodynamics; 2.6 Differential forms and exterior calculus; Problems; 3 The linear approximation; 3.1 The example of electromagnetism; 3.2 Linear field equations for gravitation; 3.3 Variational principle and equation of motion; 3.4 Nonrelativistic limit and Newton's theory; 3.5 Geometric interpretation; curved spacetime; Problems; 4 Applications of the linear approximation; 4.1 Field of a spherical mass; 4.2 Gravitational time dilation; 4.3 Deflection of light; 4.4 Time delay of light; 4.5 Gravitational lenses.
- 4.6 Optics of gravitational lenses4.7 Field of a rotating mass; Lense-Thirring effect; Problems; 5 Gravitational waves; 5.1 Plane waves; 5.2 Interaction of particles with a gravitational wave; 5.3 Emission of gravitational radiation; 5.4 Emission by a vibrating quadrupole; 5.5 Emission by a rotating quadrupole; 5.6 Emission of bursts of gravitational radiation; 5.7 Detectors of gravitational radiation; Problems; 6 Riemannian geometry; 6.1 General coordinates and tensors; 6.2 Parallel transport; covariant derivative; 6.3 Geodesic equation; 6.4 Metric tensor; 6.5 Riemann curvature tensor.
- 6.6 Geodesic deviation and tidal forces Fermi-Walker transport; 6.7 Differential forms in curved spacetime; 6.8 Isometries of spacetime; Killing vectors; Problems; 7 Einstein's gravitational theory; 7.1 General covariance and invariance; gauge transformations; 7.2 Einstein's field equation; 7.3 Another approach to Einsteins equation; cosmological term; 7.4 Schwarzschild solution and Birkhoff theorem; 7.5 Motion of planets; perihelion precession; 7.6 Propagation of light; gravitational redshift; 7.7 Geodetic precession; Problems; 8 Black holes and gravitational collapse.
- 8.1 Singularities and pseudosingularities8.2 The black hole and its horizon; 8.3 Maximal Schwarzschild geometry; 8.4 Kerr solution and Reissner-Nordstrøm solution; 8.5 Horizons and singularities of the rotating black hole; 8.6 Maximal Kerr geometry; 8.7 Black-hole thermodynamics; Hawking process; 8.8 Gravitational collapse and formation of black holes; 8.9 In search of black holes; Problems; 9 Cosmology; 9.1 Large-scale structure of the universe; 9.2 Cosmic distances; 9.3 Expansion of the universe; Hubble's law; 9.4 Age of the universe; 9.5 Cosmic background radiation; 9.6 Mass density.