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Gravitation and cosmology : principles and applications of the general theory of relativity
Résumé
A leading physicist delves into relativity and experimental applications Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity offers a Nobel laureate's perspectives on the wealth of data technological developments have brought to expand upon Einstein's theory.
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Unique in basing relativity on the Principle of Equivalence of Gravitation and Inertia over Riemannian geometry, this book explores relativity experiments and observational cosmology to provide a sound foundation upon which analyses can be made. Covering special and general relativity, tensor analysis, gravitation, curvature, and more, this book provides an engaging, insightful introduction to the forces that shape the universe.Contents xi. Part I: Preliminaries. 1. Historical introduction 3. 2. Special relativity 25. Part II: The general theory of relativity. 3. The principle of equivalence 67. 4. Tensor analysis 91. 5. Effects of gravitation 121. 6. Curvature 131. 7. Einstein's field equations 151. Part III: Applications of general relativity. 8. Classic tests of Einstein's theory 175. 9. Post-Newtonian celestial mechanics 211. 10. Gravitational radiation 251. 11. Stellar equilibrium and collapse 297. Part IV: Formal developments. 12. The action principle 357. 13. Symmetric spaces 375. Part V: Cosmology. 14. Cosmography 407. 15. Cosmology: the standard model 469. 16. Cosmology: other models 611. Appendix. Some useful numbers 635. Index 641.