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Gravitation

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General Information

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Type.................: Ebook

Part Size............: 52,654,924 bytes



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Post Information

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Posted by............: ~tqw~



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Release Notes

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Put as simply as possible, this is a book on Einstein's theory of gravity

(general relativity). It is the first textbook on the subject that uses

throughout the modern formalism and notation of differential geometry, and it is

the first book to document in full the revolutionary techniques developed during

the past decade to test the theory of general relativity.



Table Of Contents



Part I SPACETIME PHYSICS 1

1. Geometrodynamics in Brief 3

Part II PHYSICS IN FLAT SPACETIME 45

2. Foundations of Special Relativity 47

3. The Electromagnetic Field 71

4. Electromagnetism and Differential Forms 90

5. Stress-Energy Tensor and Conservation Laws 130

6. Accelerated Observers 163

7. Incompatibility of Gravity and Special Relativity 177

Part III THE MATHEMATICS OF CURVED SPACETIME 193

8. Differential Geometry: An Overview 195

9. Differential Topology 225

10. Affine Geometry: Geodesics, Parallel Transport and Covariant Derivative 244

11. Geodesic Deviation and Spacetime Curvature 265

12. Newtonian Gravity in the Language of Curved Spacetime 289

13. Riemannian Geometry: Metric as Foundation of All 304

14. Calculation of Curvature 333

15. Bianchi Identities and the Boundary of a Boundary 364

Part IV EINSTEIN'S GEOMETRIC THEORY OF GRAVITY 383

16. Equivalence Principle and Measurement of the "Gravitational Field" 385

17. How Mass-Energy Generates Curvature 404

18. Weak Gravitational Fields 435

19. Mass and Angular Momentum of a Gravitating System 448

20. Conservation Laws for 4-Momentum and Angular Momentum 460

21. Variational Principle and Initial-Value Data 484

22. Thermodynamics, Hydrodynamics, Electrodynamics, Geometric Optics, and

Kinetic Theory 557

Part V RELATIVISTIC STARS 591

23. Spherical Stars 593

24. Pulsars and Neutron Stars; Quasars and Supermassive Stars 618

25. The" Pit in the Potential" as the Central New Feature of Motion in

Schwarzschild Geometry 636

26. Stellar Pulsations 688

Part VI THE UNIVERSE 701

27. Idealized Cosmologies 703

28. Evolution of the Universe into Its Present State 763

29. Present State and Future Evolution of the Universe 771

30. Cosmological Parameters 797

Part VII GRAVITATIONAL COLLAPSE AND BLACK HOLES- 817

31. Schwarzschild Geometry 819

32. Gravitational Collapse 842

33. Black Holes 872

34. Global Techniques, Horizons, and Singularity Theorems 916

Part VIII GRAVITATIONAL WAVES 941

35. Propagation of Gravitational Waves 943

36. Generation of Gravitational Waves 974

37. Detection of Gravitational Waves 1004

Part IX. EXPERIMENTAL TESTS OF GENERAL RELATIVITY 1045

38. Testing the Foundations of Relativity 1047

39. Other Theories of Gravity and the Post-Newtonian Approximation 1066

40. Solar-System Experiments 1096

Part X. FRONTIERS 1133

41. Spinors 1135

42. Regge Calculus 1166

43. Superspace: Arena for the Dynamics of Geometry 1180

44. Beyond the End of Time 1196

Bibliography and Index of Names 1221

Subject Index 1255



Product Details



* ISBN: 0716703440

* ISBN-13: 9780716703440

* Format: Textbook Paperback, 1215pp

* Publisher: W. H. Freeman Company

* Pub. Date: September 1973

* Edition Number: 1



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