Relativity : an introduction to special and general relativity /
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| Author / Creator: | Stephani, Hans. |
|---|---|
| Uniform title: | Allgemeine Relativitätstheorie. English |
| Edition: | 3rd ed. |
| Imprint: | Cambridge, UK ; New York : Cambridge University Press, 2004. |
| Description: | xx, 396 p. : ill. ; 24 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5141901 |
Table of Contents:
- Foreword
- Part I. Special Relativity
- 1. Introduction: inertial systems and Galilei invariance
- 2. Light propagation and Lorenz transformations
- 3. Our world as a Minkowski space
- 4. Mechanics of special relativity
- 5. Optics of plane waves
- 6. Four-dimensional vectors and tensors
- 7. Electrodynamics in vacuo
- 8. Transformation properties of electromagnetic fields: examples
- 9. Null vectors and algebraic properties of electromagnetic fields
- 10. Charged point particles and their field
- 11. Pole-dipole particles and their field
- 12. Electrodynamics in media
- 13. Perfect fluids and other physical theories
- Part II. Riemannian Geometry
- 14. The force-free motion of particles
- 15. Why Riemannian geometry?
- 16. Riemannian space
- 17. Tensor algebra
- 18. The covariant derivative and parallel transport
- 19. The curvature tensor
- 20. Differential operators, integrals and integral laws
- 21. Fundamental laws of physics in Riemannian spaces
- Part III. Foundations of Einstein's Theory of Gravitation
- 22. The fundamental equations of Einstein's theory of gravitation
- 23. The Schwarzschild solution
- 24. Experiments to verify the Schwarzschild metric
- 25. Gravitational lenses
- 26. The interior Schwarzschild solution
- Part IV. Linearized Theory of Gravitation, Far Fields and Gravitational Waves
- 27. The linearized Einstein theory of gravity
- 28. Far fields and balance equations
- 29. Gravitational waves
- 30. The Cauchy problem for the Einstein field equations
- Part V. Invariant Characterization of Exact Solutions
- 31. Preferred vector fields and their properties
- 32. The Petrov classification
- 33. Killing vectors and groups of motion
- 34. A survey of some selected classes of exact solutions
- Part VI. Gravitational Collapse and Black Holes
- 35. The Schwarzschild singularity
- 36. Gravitational collapse of spherically-symmetric stars
- 37. Rotating black holes
- 38. Black holes are not black
- 39. The conformal structure of infinity
- Part VII. Cosmology
- 40. Robertson-Walker metrics and their properties
- 41. The dynamics of R-W metrics and the Friedmann universes
- 42. Our Universe as a Friedmann model
- 43. General cosmological models
- Bibliography
- Index
