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El. knyga: Basic Relativity: An Introductory Essay

  • Formatas: PDF+DRM
  • Serija: SpringerBriefs in Physics
  • Išleidimo metai: 22-Mar-2011
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Kalba: eng
  • ISBN-13: 9783642178108
Kitos knygos pagal šią temą:
Basic Relativity: An Introductory EssayDidesnis paveikslėlis
  • Formatas: PDF+DRM
  • Serija: SpringerBriefs in Physics
  • Išleidimo metai: 22-Mar-2011
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Kalba: eng
  • ISBN-13: 9783642178108
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This text goes much further than describing the fundamentals of general relativity, using a fresh approach that explains perplexing relativistic effects such as time dilation and Lorentz contraction prior to the volume’s discussion of Lorentz-transformation.



This Brief presents a new way of introducing relativity theory, in which perplexing relativistic effects such as time dilation and Lorentz contraction are explained prior to the discussion of Lorentz-transformation. The notion of relativistic mass is shown to contradict the spirit of relativity theory and the true significance of the mass-energy relation is contrasted with the popular view of it. The author discusses the twin paradox from the point of view of both siblings. Last but not least, the fundamentals of general relativity are described, including the recent Gravity Probe B experiment.
1 From Time Dilation to E0 = mc2 1(28)
1.1 Reference Frames and Inertial Frames
1(3)
1.2 The Optical Doppler-Effect and Time Dilation
4(4)
1.3 The Relativity of Simultaneity
8(3)
1.4 The Proper Time and the Twin Paradox
11(2)
1.5 The Lorentz Contraction
13(2)
1.6 Velocity Addition
15(2)
1.7 The Equation of Motion of a Point Particle
17(3)
1.8 Does Mass Increase with Velocity?
20(1)
1.9 The Kinetic Energy of a Point Mass
20(2)
1.10 The Rest Energy: The E0 = mc2 Formula
22(3)
1.11 Is Mass Conserved?
25(1)
1.12 The Popular View on the Mass–Energy Relation
26(3)
2 The Lorentz-Transformation 29(46)
2.1 The Coordinate Time
29(3)
2.2 Independence of the Constancy of c from Synchronization
32(1)
2.3 The Minkowski Coordinates
33(1)
2.4 The Lorentz-Transformation
34(4)
2.5 Classification of Spacetime Intervals
38(2)
2.6 Spacetime Diagrams
40(5)
2.7 The Causality Paradox
45(3)
2.8 Demonstration of Time Dilation on Spacetime Diagram
48(2)
2.9 Doppler-Effect Revisited
50(1)
2.10 The Connection of the Proper Time and Coordinate Time in Inertial Frames
51(1)
2.11 The Magnitude of the Twin Paradox
52(1)
2.12 The Coordinate Time in Accelerating Frames: the Twin Paradox
53(6)
2.13 The Coordinate Time in Accelerating Frames: the Rotating Earth
59(1)
2.14 Lorentz Contraction Revisited
60(2)
2.15 Is the Perimeter of a Spinning Disc Contracted?
62(1)
2.16 Do Moving Bodies seem Shorter?
63(1)
2.17 Velocity Addition Revisited
64(1)
2.18 Equation of Motion Revisited
64(2)
2.19 The Energy—Momentum Four Vector
66(2)
2.20 Massless Particles
68(1)
2.21 The Transformation of the Electromagnetic Field
69(2)
2.22 The Thomas-Precession
71(1)
2.23 The Sagnac Effect
72(3)
3 General Relativity 75(14)
3.1 Gravitational and Inertial Mass
75(2)
3.2 The Equivalence Principle
77(1)
3.3 The Meaning of the Relation m* = m
78(1)
3.4 Locality of the Inertial Frames
79(2)
3.5 The Weight
81(1)
3.6 The GP-B Experiment
81(2)
3.7 Light Deflection
83(1)
3.8 Perihelion Precession
84(1)
3.9 Gravitational Red Shift
85(4)
4 Concluding Remarks 89(4)
5 Selected Problems to
Chapter 1		 93(8)
Index 101
Péter Hraskó received higher education in the Ural State Technological University in Yekaterinburg (former Sverdlovsk in USSR) and Ph. D. degree in physics in the KFKI Research Institute for Particle and Nuclear Physics in Budapest (Hungary). He worked there until his retirement. He was also professor of the Theoretical Physics Department at the University of Pécs (Hungary). Péter Hraskó received the Prometheus Medal of the Hungarian Society of Physics for the Spreading of Scientific Knowledge.
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