Relativity: An Introduction to Spacetime PhysicsCRC Press, 30.06.2017 - 296 Seiten Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathe |
Inhalt
CLASSICAL PHYSICS | |
12 NEWTONIAN MECHANICS | 3 |
13 GRAVITY | 13 |
14 MAXWELLS ELECTRO MAGNETISM | 15 |
15 THE WAVE MODEL OF LIGHT | 20 |
16 A SUMMARY OF CLASSICAL PHYSICS TO 1900 | 25 |
PROBLEMS WITH SPA CE AND TIME | 32 |
21 PROBLEMS OF MOTION AND CHANGE | 33 |
32 SPACETIME DIAGRAMS | 134 |
33 SPECIAL RELATIVITY AND GEOMETRY | 137 |
34 RELATIVITY AND GEOMETRY | 146 |
35 VELOCITY MOMENTUM AND ENERGY | 156 |
36 SPACETIME MECHANICS | 160 |
37 EXAMPLES FROM PARTICLE PHYSICS | 166 |
38 SUMMARY OF IDEAS AND EQUATIONS IN CHAPTER 3 | 171 |
39 PROBLEMS | 172 |
22 THE PROBLEM OF THE ETHER | 36 |
23 THE MICHELSONMORLEY EXPERIMENT | 41 |
24 THE PRINCIPLE OF RELATIVITY | 45 |
25 TIME DILATION | 48 |
26 THE TIME DILATION FORMULA | 52 |
27 TESTING TIME DILATION | 55 |
28 LENGTH CONTRACTION | 60 |
29 THE RELATIVITY OF SIMULTANEITY | 65 |
210 SYNCHRONIZATION ERRORS AND CORRECTIONS | 69 |
211 RELATIVISTIC VELOCITY ADDITION | 72 |
212 RELATIVISTIC MASS | 79 |
213 MASS AND ENERGY | 84 |
214 MASS ENERGY AND MOMENTUM | 93 |
215 MASS ENERGY AND PARTICLE PHYSICS | 98 |
216 THE TWIN PARADOX A FIRST LOOK | 103 |
217 THE LORENTZ TRANSFORMATION | 107 |
218 USING THE LORENTZ TRANSFORMATION | 113 |
219 SUMMARY OF IDEAS AND EQUATIONS IN CHAPTER 2 | 118 |
220 PROBLEMS | 120 |
SPACETIME | 128 |
31 THE GEOMETRY OF SPACE AND TIME | 129 |
GENERAL RELATIVITY AND COSMOLOGY | 182 |
4 INERTIAL FORCES | 183 |
42 THE EQUIVALENCE PRINCIPLE | 186 |
43 GRAVITY AND LIGHT | 191 |
44 GRAVITY AND TIME | 197 |
45 THE GEOMETRY OF CURVATURE | 205 |
46 GRAVITY AND GEOMETRY | 212 |
47 NONEUCLIDEAN GEOMETRY | 219 |
48 THE GENERAL THEORY | 221 |
49 THE GEOMETRY OF THE UNIVERSE | 226 |
410 BLACK HOLES | 237 |
411 GRAVITATIONAL WAVES | 246 |
412 SUMMARY OF IDEAS AND EQUATIONS IN CHAPTER 4 | 254 |
413 PROBLEMS | 256 |
APPENDIX | 263 |
52 RADIATION PRESSURE | 265 |
53 SOLUTIONS | 266 |
Further Reading | 272 |
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4-momentum 4-vector A's clock acceleration angle axes axis B's frame beam black hole calculate centre classical physics co-ordinates collision conservation constant curvature deflection derived detector dilation direction distance Earth effect Einstein electromagnetic electron emitted energy and momentum equations equivalence principle ether example experiment frequency galaxies geometry gravitational field gravitational lens gravitational waves Hubble inertial reference frames interaction interferometer invariant kinetic energy laboratory length contraction light clock light ray lightcone Lorentz transformation measured mechanics muon Newton's Newtonian nucleus observer orbit parallel particles passes path perpendicular photon quasar radiation radius red shift relative motion relative velocity relativistic mass rest energy rest frame rest mass result rocket rotation runs slow Schwarzschild radius simultaneous space space-time space-time diagram special relativity speed of light star surface synchronization theory total energy twin paradox universe vector velocity addition velocity of light wavelength waves worldline x-axis