Transcription of Einstein's General Theory of Relativity
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Einstein's General Theory of Relativity
Einstein's General Theory of Relativity yvind Gr n and Sigbj rn Hervik Contents Preface xv Notation xvii I I NTRODUCTION : N EWTONIAN P HYSICS AND S PECIAL R ELATIVITY 1. 1 Relativity Principles and Gravitation 3. Newtonian mechanics .. 3. Galilei Newton's principle of Relativity .. 4. The principle of Relativity .. 5. Newton's law of Gravitation .. 6. Local form of Newton's Gravitational law .. 8. Tidal forces .. 10. The principle of equivalence .. 14. The covariance principle .. 15. Mach's principle .. 16. Problems .. 17. 2 The Special Theory of Relativity 21. Coordinate systems and Minkowski-diagrams .. 21. Synchronization of clocks .. 23. The Doppler effect .. 23. Relativistic time-dilatation .. 25. The Relativity of simultaneity .. 26. The Lorentz-contraction .. 28. The Lorentz transformation .. 30. Lorentz-invariant interval .. 32. The twin-paradox .. 34. Hyperbolic motion .. 35.
List of Problems Chapter 1 17 1.1 The strength of gravity compared to the Coulomb force . . . . 17 1.2 Falling objects in the gravitational eld of the Earth ...
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