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II Physics Formulary by ir. J.C.A. Wevers 3 Relativity 13 3.1 Special relativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.1.1 The Lorentz transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.1.2 Red and blue shift . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.1.3 The stress-energy tensor and the Feld tensor . . . . . . . . . . . . . . . . . . . . . . . 14 3.2 General relativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.2.1 Riemannian geometry, the Einstein tensor . . . . . . . . . . . . . . . . . . . . . . . . 14 3.2.2 The line element . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2.3 Planetary orbits and the perihelion shift . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.2.4 The trajectory of a photon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2.5 Gravitational waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2.6 Cosmology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4 Oscillations 18 4.1 Harmonic oscillations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
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