Relativity

  • Special Relativity, David W. Hogg.

    Contents (53 pages)
    1 Principles of relativity
    2 Time dilation and length contraction
    3 The geometry of spacetime
    4 The Lorentz transformation
    5 Causality and the interval
    6 Relativistic mechanics
    7 Optics and apparent efects: special relativity applied to astronomy
    References
    Index



  • The special theory of relativity, J D Cresser

    Contents: (44 pages)
    1 Introduction: What is Relativity?
    2 Frames of Reference
    3 The Galilean Transformation
    4 Newtonian Force and Momentum
    5 Newtonian Relativity
    6 Maxwell's Equations and the Ether
    7 Einstein's Postulates
    8 Clock Synchronization in an Inertial Frame
    9 Lorentz Transformation
    10 Relativistic Dynamics
    11 Geometry of Spacetime



  • Introduction to general relativity, G. 't Hooft

    Contents: (59 pages)

    Prologue
    1. Summary of the theory of Special Relativity. Notations
    2. The Eotvos experiments and the equivalence principle
    3. The constantly accelerated elevator. Rindler space
    4. Curved coordinates
    5. The affine connection. Riemann curvature
    6. The metric tensor
    7. The perturbative expansion and Einstein's law of gravity.
    8. The action principle
    9. Special coordinates
    10. Electromagnetism
    11. The Schwarzschild solution
    12. Mercury and light rays in the Schwarzschild metric
    13. Generalizations of the Schwarzschild solution
    14. The Robertson-Walker metric
    15. Gravitational radiation