World lines and Schwarzschild solution

General Relativity (Fall, 2008)

Lecture Playlist

  1. Newtonian Gravity and the equivalence principle

  2. Tidal forces and curvature

  3. Essential tools: tensors and the metric

  4. Tensor mechanics

  5. Covariant differentiation and geodesics

  6. The flat space of special relativity

  7. The Riemannian curvature tensor

  8. Equations of motion in curved space

  9. Gravitation in the Newtonian approximation

  10. Energy-momentum tensor and Einstein's equations

  11. Accelerated coordinates

  12. World lines and Schwarzschild solution

December 8, 2008
World lines of accelerated motion in space-time diagrams.
Light cone and accelerated motion.
The Schwarzschild solution for a point mass.
The central singularity of the Schwarzschild solution cannot be transformed away.
The event horizon.
Topics: 
  • Space-time diagram
  • Light cone
  • Schwarzschild metric
  • Singularity
  • Event horizon
References