Relativity :(1) the special theory   (2) the general theory      J.L.Synge

img1.gifJohn L. Synge 1897-1995

 愛爾蘭(Irish)數學家與物理學家  Synge's theorem 1936年 : M is a closed Riemannian manifold with positive sectional curvature

If M is even-dimensional and orientable , then M is simply connected.

If M is odd-dimensional ,the it is orientable.

 Relativity : the special theory

  1. The Space-time continuum and the separation between events
  2. Introduction to the special theory
  3. Space-time diagrams
  4. The Lorentz transformation
  5. Applications of the Lorentz transfirmation
  6. Mechanics of a particle and collision problems
  7. Mechanics of a discrete system
  8. Mechanics of a continuum
  9. The electromagnetic field in vacuo
  10. Fields and Charges
  11. Appendix

Relativity : the general theory

  1. Essential tensor formulae for Riemannian Spacetime
  2. The world-functio
  3. Chronometry in Riemannian Spacetime
  4. The material continuum
  5. Some properties of Einstein fields
  6. Integral conservation laws  and equations of motion
  7. Fields with spherical symmetry
  8. Some special universes
  9. Gravitational waves
  10. Electromagnetism
  11. Geometrical Optics