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Special Relativity

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Special Relativity

This a textbook on special relativity, aimed at undergraduates who have already completed a freshman survey course. The treatment of electromagnetism assumes previous exposure to Maxwell's equations in integral form, but no knowledge of vector calculus.

RelativityPhysics
Author
Benjamin Crowell
Publisher
Fullerton College
Source
LibreTexts
License
CC BY-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 78 sections
  1. 01: Spacetime
  2. 1.01: Three Models of Spacetime
  3. 1.02: Minkowski Coordinates
  4. 1.03: Measurement
  5. 1.04: The Lorentz transformation
  6. 1.05: Triangle and Cauchy-Schwarz Inequalities
  7. 1.E: Spacetime (Exercises)
  8. 02: Foundations
  9. 2.01: Causality
  10. 2.02: Flatness
  11. 2.03: Additional Postulates
  12. 2.04: Other Axiomatizations
  13. 2.05: Lemma - Spacetime area is invariant
  14. 2.E: Foundations (Exercises)
  15. 03: Kinematics
  16. 3.01: How can they both . . .
  17. 3.02: The stretch factor is the Doppler shift
  18. 3.03: Combination of Velocities
  19. 3.04: No frame of reference moving at c
  20. 3.05: The Velocity and Acceleration Vectors
  21. 3.06: Some kinematic identities
  22. 3.07: The Projection Operator
  23. 3.08: Faster-than-light frames of reference
  24. 3.09: Thickening of a curve
  25. 3.E: Kinematics (Exercises)
  26. 04: Dynamics
  27. 4.01: Ultrarelativistic particles
  28. 4.02: Emc
  29. 4.03: Relativistic Momentum
  30. 4.04: Systems with internal structure
  31. 4.05: Force
  32. 4.06: Two Applications
  33. 4.07: Tachyons and Faster-than-Light (FTL)
  34. 4.E: Dynamics (Exercises)
  35. 05: Inertia
  36. 5.01: What is Inertial Motion
  37. 5.02: The Equivalence Principle
  38. 5.E: Inertia (Exercises)
  39. 06: Waves
  40. 6.01: Frequency
  41. 6.02: Phase
  42. 6.03: The Frequency-Wavenumber Covector
  43. 6.04: Duality
  44. 6.05: The Doppler Shift and Aberration
  45. 6.06: Phase and Group Velocity
  46. 6.07: Abstract Index Notation
  47. 6.E: Waves (Exercises)
  48. 07: Coordinates
  49. 7.01: An Example - Accelerated Coordinates
  50. 7.02: Transformation of Vectors
  51. 7.03: Transformation of the Metric
  52. 7.04: Summary of Transformation Laws
  53. 7.05: Inertia and Rates of Change
  54. 7.06: Volume Orientation and the Levi-Civita Tensor
  55. 7.E: Coordinates (Exercises)
  56. 08: Rotation
  57. 8.01: Rotating Frames of Reference
  58. 8.02: Angular Momentum
  59. 8.03: Boosts and Rotations
  60. 8.E: Rotation (Exercises)
  61. 09: Flux
  62. 9.01: The Current Vector
  63. 9.02: The Stress-Energy Tensor
  64. 9.03: Gausss Theorem
  65. 9.04: The Covariant Derivative
  66. 9.05: Congruences Expansion and Rigidity
  67. 9.06: Units of Measurement for Tensors
  68. 9.07: Notations for Tensors
  69. 9.E: Flux (Exercises)
  70. 10: Electromagnetism
  71. 10.01: Relativity Requires Magnetism
  72. 10.02: Fields in Relativity
  73. 10.03: Electromagnetic fields
  74. 10.04: Transformation of the Fields
  75. 10.05: Invariants
  76. 10.06: Stress-energy tensor of the electromagnetic field
  77. 10.07: Maxwells Equations
  78. 10.E: Electromagnetism (Exercises)